<?php
/**
 * PHPExcel
 *
 * Copyright (c) 2006 - 2013 PHPExcel
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301  USA
 *
 * @category   PHPExcel
 * @package    PHPExcel_Calculation
 * @copyright  Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
 * @license    http://www.gnu.org/licenses/old-licenses/lgpl-2.1.txt	LGPL
 * @version    1.7.9, 2013-06-02
 */


/** PHPExcel root directory */
if (!defined('PHPEXCEL_ROOT'))
{
	/**
	 * @ignore
	 */
	define('PHPEXCEL_ROOT', dirname(__FILE__) . '/../');

}


if (!defined('CALCULATION_REGEXP_CELLREF'))
{
	//	Test for support of \P (multibyte options) in PCRE
	if (defined('PREG_BAD_UTF8_ERROR'))
	{
		//	Cell reference (cell or range of cells, with or without a sheet reference)
		define('CALCULATION_REGEXP_CELLREF', '((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?([a-z]{1,3})\$?(\d{1,7})');
		//	Named Range of cells
		define('CALCULATION_REGEXP_NAMEDRANGE', '((([^\s,!&%^\/\*\+<>=-]*)|(\'[^\']*\')|(\"[^\"]*\"))!)?([_A-Z][_A-Z0-9\.]*)');
	}
	else
	{
		//	Cell reference (cell or range of cells, with or without a sheet reference)
		define('CALCULATION_REGEXP_CELLREF', '(((\w*)|(\'[^\']*\')|(\"[^\"]*\"))!)?\$?([a-z]{1,3})\$?(\d+)');
		//	Named Range of cells
		define('CALCULATION_REGEXP_NAMEDRANGE', '(((\w*)|(\'.*\')|(\".*\"))!)?([_A-Z][_A-Z0-9\.]*)');
	}
}


/**
 * PHPExcel_Calculation (Multiton)
 *
 * @category       PHPExcel
 * @package        PHPExcel_Calculation
 * @copyright      Copyright (c) 2006 - 2013 PHPExcel (http://www.codeplex.com/PHPExcel)
 */
class PHPExcel_Calculation {

	/** Constants                */
	/** Regular Expressions        */
	//	Numeric operand
	const CALCULATION_REGEXP_NUMBER = '[-+]?\d*\.?\d+(e[-+]?\d+)?';
	//	String operand
	const CALCULATION_REGEXP_STRING = '"(?:[^"]|"")*"';
	//	Opening bracket
	const CALCULATION_REGEXP_OPENBRACE = '\(';
	//	Function (allow for the old @ symbol that could be used to prefix a function, but we'll ignore it)
	const CALCULATION_REGEXP_FUNCTION = '@?([A-Z][A-Z0-9\.]*)[\s]*\(';
	//	Cell reference (cell or range of cells, with or without a sheet reference)
	const CALCULATION_REGEXP_CELLREF = CALCULATION_REGEXP_CELLREF;
	//	Named Range of cells
	const CALCULATION_REGEXP_NAMEDRANGE = CALCULATION_REGEXP_NAMEDRANGE;
	//	Error
	const CALCULATION_REGEXP_ERROR = '\#[A-Z][A-Z0_\/]*[!\?]?';


	/** constants */
	const RETURN_ARRAY_AS_ERROR = 'error';
	const RETURN_ARRAY_AS_VALUE = 'value';
	const RETURN_ARRAY_AS_ARRAY = 'array';

	private static $returnArrayAsType = self::RETURN_ARRAY_AS_VALUE;


	/**
	 * Instance of this class
	 *
	 * @access    private
	 * @var PHPExcel_Calculation
	 */
	private static $_instance;


	/**
	 * Instance of the workbook this Calculation Engine is using
	 *
	 * @access    private
	 * @var PHPExcel
	 */
	private $_workbook;

	/**
	 * List of instances of the calculation engine that we've instantiated for individual workbooks
	 *
	 * @access    private
	 * @var PHPExcel_Calculation[]
	 */
	private static $_workbookSets;

	/**
	 * Calculation cache
	 *
	 * @access    private
	 * @var array
	 */
	private $_calculationCache = array();


	/**
	 * Calculation cache enabled
	 *
	 * @access    private
	 * @var boolean
	 */
	private $_calculationCacheEnabled = true;


	/**
	 * List of operators that can be used within formulae
	 * The true/false value indicates whether it is a binary operator or a unary operator
	 *
	 * @access    private
	 * @var array
	 */
	private static $_operators = array(
			'+' => true,
			'-' => true,
			'*' => true,
			'/' => true,
			'^' => true,
			'&' => true,
			'%' => false,
			'~' => false,
			'>' => true,
			'<' => true,
			'=' => true,
			'>=' => true,
			'<=' => true,
			'<>' => true,
			'|' => true,
			':' => true
	);


	/**
	 * List of binary operators (those that expect two operands)
	 *
	 * @access    private
	 * @var array
	 */
	private static $_binaryOperators = array(
			'+' => true,
			'-' => true,
			'*' => true,
			'/' => true,
			'^' => true,
			'&' => true,
			'>' => true,
			'<' => true,
			'=' => true,
			'>=' => true,
			'<=' => true,
			'<>' => true,
			'|' => true,
			':' => true
	);

	/**
	 * The debug log generated by the calculation engine
	 *
	 * @access    private
	 * @var PHPExcel_CalcEngine_Logger
	 *
	 */
	private $debugLog;

	/**
	 * Flag to determine how formula errors should be handled
	 *        If true, then a user error will be triggered
	 *        If false, then an exception will be thrown
	 *
	 * @access    public
	 * @var boolean
	 *
	 */
	public $suppressFormulaErrors = false;

	/**
	 * Error message for any error that was raised/thrown by the calculation engine
	 *
	 * @access    public
	 * @var string
	 *
	 */
	public $formulaError = null;

	/**
	 * An array of the nested cell references accessed by the calculation engine, used for the debug log
	 *
	 * @access    private
	 * @var array of string
	 *
	 */
	private $_cyclicReferenceStack;

	/**
	 * Current iteration counter for cyclic formulae
	 * If the value is 0 (or less) then cyclic formulae will throw an exception,
	 *    otherwise they will iterate to the limit defined here before returning a result
	 *
	 * @var integer
	 *
	 */
	private $_cyclicFormulaCount = 0;

	private $_cyclicFormulaCell = '';

	/**
	 * Number of iterations for cyclic formulae
	 *
	 * @var integer
	 *
	 */
	public $cyclicFormulaCount = 0;

	/**
	 * Precision used for calculations
	 *
	 * @var integer
	 *
	 */
	private $_savedPrecision = 14;


	/**
	 * The current locale setting
	 *
	 * @var string
	 *
	 */
	private static $_localeLanguage = 'en_us'; //	US English	(default locale)

	/**
	 * List of available locale settings
	 * Note that this is read for the locale subdirectory only when requested
	 *
	 * @var string[]
	 *
	 */
	private static $_validLocaleLanguages = array(
			'en' //	English		(default language)
	);
	/**
	 * Locale-specific argument separator for function arguments
	 *
	 * @var string
	 *
	 */
	private static $_localeArgumentSeparator = ',';
	private static $_localeFunctions = array();

	/**
	 * Locale-specific translations for Excel constants (True, False and Null)
	 *
	 * @var string[]
	 *
	 */
	public static $_localeBoolean = array(
			'TRUE' => 'TRUE',
			'FALSE' => 'FALSE',
			'NULL' => 'NULL'
	);


	/**
	 * Excel constant string translations to their PHP equivalents
	 * Constant conversion from text name/value to actual (datatyped) value
	 *
	 * @var string[]
	 *
	 */
	private static $_ExcelConstants = array(
			'TRUE' => true,
			'FALSE' => false,
			'NULL' => null
	);

	//	PHPExcel functions
	private static $_PHPExcelFunctions = array( // PHPExcel functions
												'ABS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'abs',
														'argumentCount' => '1'
												),
												'ACCRINT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::ACCRINT',
														'argumentCount' => '4-7'
												),
												'ACCRINTM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::ACCRINTM',
														'argumentCount' => '3-5'
												),
												'ACOS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'acos',
														'argumentCount' => '1'
												),
												'ACOSH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'acosh',
														'argumentCount' => '1'
												),
												'ADDRESS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::CELL_ADDRESS',
														'argumentCount' => '2-5'
												),
												'AMORDEGRC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::AMORDEGRC',
														'argumentCount' => '6,7'
												),
												'AMORLINC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::AMORLINC',
														'argumentCount' => '6,7'
												),
												'AND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::LOGICAL_AND',
														'argumentCount' => '1+'
												),
												'AREAS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'ASC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'ASIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'asin',
														'argumentCount' => '1'
												),
												'ASINH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'asinh',
														'argumentCount' => '1'
												),
												'ATAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'atan',
														'argumentCount' => '1'
												),
												'ATAN2' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::ATAN2',
														'argumentCount' => '2'
												),
												'ATANH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'atanh',
														'argumentCount' => '1'
												),
												'AVEDEV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::AVEDEV',
														'argumentCount' => '1+'
												),
												'AVERAGE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::AVERAGE',
														'argumentCount' => '1+'
												),
												'AVERAGEA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::AVERAGEA',
														'argumentCount' => '1+'
												),
												'AVERAGEIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::AVERAGEIF',
														'argumentCount' => '2,3'
												),
												'AVERAGEIFS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '3+'
												),
												'BAHTTEXT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'BESSELI' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BESSELI',
														'argumentCount' => '2'
												),
												'BESSELJ' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BESSELJ',
														'argumentCount' => '2'
												),
												'BESSELK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BESSELK',
														'argumentCount' => '2'
												),
												'BESSELY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BESSELY',
														'argumentCount' => '2'
												),
												'BETADIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::BETADIST',
														'argumentCount' => '3-5'
												),
												'BETAINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::BETAINV',
														'argumentCount' => '3-5'
												),
												'BIN2DEC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BINTODEC',
														'argumentCount' => '1'
												),
												'BIN2HEX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BINTOHEX',
														'argumentCount' => '1,2'
												),
												'BIN2OCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::BINTOOCT',
														'argumentCount' => '1,2'
												),
												'BINOMDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::BINOMDIST',
														'argumentCount' => '4'
												),
												'CEILING' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::CEILING',
														'argumentCount' => '2'
												),
												'CELL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1,2'
												),
												'CHAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::CHARACTER',
														'argumentCount' => '1'
												),
												'CHIDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CHIDIST',
														'argumentCount' => '2'
												),
												'CHIINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CHIINV',
														'argumentCount' => '2'
												),
												'CHITEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'CHOOSE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::CHOOSE',
														'argumentCount' => '2+'
												),
												'CLEAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::TRIMNONPRINTABLE',
														'argumentCount' => '1'
												),
												'CODE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::ASCIICODE',
														'argumentCount' => '1'
												),
												'COLUMN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::COLUMN',
														'argumentCount' => '-1',
														'passByReference' => array(true)
												),
												'COLUMNS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::COLUMNS',
														'argumentCount' => '1'
												),
												'COMBIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::COMBIN',
														'argumentCount' => '2'
												),
												'COMPLEX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::COMPLEX',
														'argumentCount' => '2,3'
												),
												'CONCATENATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::CONCATENATE',
														'argumentCount' => '1+'
												),
												'CONFIDENCE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CONFIDENCE',
														'argumentCount' => '3'
												),
												'CONVERT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::CONVERTUOM',
														'argumentCount' => '3'
												),
												'CORREL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CORREL',
														'argumentCount' => '2'
												),
												'COS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'cos',
														'argumentCount' => '1'
												),
												'COSH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'cosh',
														'argumentCount' => '1'
												),
												'COUNT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::COUNT',
														'argumentCount' => '1+'
												),
												'COUNTA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::COUNTA',
														'argumentCount' => '1+'
												),
												'COUNTBLANK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::COUNTBLANK',
														'argumentCount' => '1'
												),
												'COUNTIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::COUNTIF',
														'argumentCount' => '2'
												),
												'COUNTIFS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'COUPDAYBS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPDAYBS',
														'argumentCount' => '3,4'
												),
												'COUPDAYS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPDAYS',
														'argumentCount' => '3,4'
												),
												'COUPDAYSNC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPDAYSNC',
														'argumentCount' => '3,4'
												),
												'COUPNCD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPNCD',
														'argumentCount' => '3,4'
												),
												'COUPNUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPNUM',
														'argumentCount' => '3,4'
												),
												'COUPPCD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::COUPPCD',
														'argumentCount' => '3,4'
												),
												'COVAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::COVAR',
														'argumentCount' => '2'
												),
												'CRITBINOM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CRITBINOM',
														'argumentCount' => '3'
												),
												'CUBEKPIMEMBER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBEMEMBER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBEMEMBERPROPERTY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBERANKEDMEMBER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBESET' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBESETCOUNT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUBEVALUE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_CUBE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'CUMIPMT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::CUMIPMT',
														'argumentCount' => '6'
												),
												'CUMPRINC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::CUMPRINC',
														'argumentCount' => '6'
												),
												'DATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DATE',
														'argumentCount' => '3'
												),
												'DATEDIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DATEDIF',
														'argumentCount' => '2,3'
												),
												'DATEVALUE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DATEVALUE',
														'argumentCount' => '1'
												),
												'DAVERAGE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DAVERAGE',
														'argumentCount' => '3'
												),
												'DAY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DAYOFMONTH',
														'argumentCount' => '1'
												),
												'DAYS360' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DAYS360',
														'argumentCount' => '2,3'
												),
												'DB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::DB',
														'argumentCount' => '4,5'
												),
												'DCOUNT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DCOUNT',
														'argumentCount' => '3'
												),
												'DCOUNTA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DCOUNTA',
														'argumentCount' => '3'
												),
												'DDB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::DDB',
														'argumentCount' => '4,5'
												),
												'DEC2BIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::DECTOBIN',
														'argumentCount' => '1,2'
												),
												'DEC2HEX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::DECTOHEX',
														'argumentCount' => '1,2'
												),
												'DEC2OCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::DECTOOCT',
														'argumentCount' => '1,2'
												),
												'DEGREES' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'rad2deg',
														'argumentCount' => '1'
												),
												'DELTA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::DELTA',
														'argumentCount' => '1,2'
												),
												'DEVSQ' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::DEVSQ',
														'argumentCount' => '1+'
												),
												'DGET' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DGET',
														'argumentCount' => '3'
												),
												'DISC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::DISC',
														'argumentCount' => '4,5'
												),
												'DMAX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DMAX',
														'argumentCount' => '3'
												),
												'DMIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DMIN',
														'argumentCount' => '3'
												),
												'DOLLAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::DOLLAR',
														'argumentCount' => '1,2'
												),
												'DOLLARDE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::DOLLARDE',
														'argumentCount' => '2'
												),
												'DOLLARFR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::DOLLARFR',
														'argumentCount' => '2'
												),
												'DPRODUCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DPRODUCT',
														'argumentCount' => '3'
												),
												'DSTDEV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DSTDEV',
														'argumentCount' => '3'
												),
												'DSTDEVP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DSTDEVP',
														'argumentCount' => '3'
												),
												'DSUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DSUM',
														'argumentCount' => '3'
												),
												'DURATION' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '5,6'
												),
												'DVAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DVAR',
														'argumentCount' => '3'
												),
												'DVARP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATABASE,
														'functionCall' => 'PHPExcel_Calculation_Database::DVARP',
														'argumentCount' => '3'
												),
												'EDATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::EDATE',
														'argumentCount' => '2'
												),
												'EFFECT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::EFFECT',
														'argumentCount' => '2'
												),
												'EOMONTH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::EOMONTH',
														'argumentCount' => '2'
												),
												'ERF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::ERF',
														'argumentCount' => '1,2'
												),
												'ERFC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::ERFC',
														'argumentCount' => '1'
												),
												'ERROR.TYPE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::ERROR_TYPE',
														'argumentCount' => '1'
												),
												'EVEN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::EVEN',
														'argumentCount' => '1'
												),
												'EXACT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'EXP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'exp',
														'argumentCount' => '1'
												),
												'EXPONDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::EXPONDIST',
														'argumentCount' => '3'
												),
												'FACT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::FACT',
														'argumentCount' => '1'
												),
												'FACTDOUBLE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::FACTDOUBLE',
														'argumentCount' => '1'
												),
												'FALSE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::FALSE',
														'argumentCount' => '0'
												),
												'FDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '3'
												),
												'FIND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::SEARCHSENSITIVE',
														'argumentCount' => '2,3'
												),
												'FINDB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::SEARCHSENSITIVE',
														'argumentCount' => '2,3'
												),
												'FINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '3'
												),
												'FISHER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::FISHER',
														'argumentCount' => '1'
												),
												'FISHERINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::FISHERINV',
														'argumentCount' => '1'
												),
												'FIXED' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::FIXEDFORMAT',
														'argumentCount' => '1-3'
												),
												'FLOOR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::FLOOR',
														'argumentCount' => '2'
												),
												'FORECAST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::FORECAST',
														'argumentCount' => '3'
												),
												'FREQUENCY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'FTEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'FV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::FV',
														'argumentCount' => '3-5'
												),
												'FVSCHEDULE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::FVSCHEDULE',
														'argumentCount' => '2'
												),
												'GAMMADIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::GAMMADIST',
														'argumentCount' => '4'
												),
												'GAMMAINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::GAMMAINV',
														'argumentCount' => '3'
												),
												'GAMMALN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::GAMMALN',
														'argumentCount' => '1'
												),
												'GCD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::GCD',
														'argumentCount' => '1+'
												),
												'GEOMEAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::GEOMEAN',
														'argumentCount' => '1+'
												),
												'GESTEP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::GESTEP',
														'argumentCount' => '1,2'
												),
												'GETPIVOTDATA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2+'
												),
												'GROWTH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::GROWTH',
														'argumentCount' => '1-4'
												),
												'HARMEAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::HARMEAN',
														'argumentCount' => '1+'
												),
												'HEX2BIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::HEXTOBIN',
														'argumentCount' => '1,2'
												),
												'HEX2DEC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::HEXTODEC',
														'argumentCount' => '1'
												),
												'HEX2OCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::HEXTOOCT',
														'argumentCount' => '1,2'
												),
												'HLOOKUP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '3,4'
												),
												'HOUR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::HOUROFDAY',
														'argumentCount' => '1'
												),
												'HYPERLINK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::HYPERLINK',
														'argumentCount' => '1,2',
														'passCellReference' => true
												),
												'HYPGEOMDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::HYPGEOMDIST',
														'argumentCount' => '4'
												),
												'IF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::STATEMENT_IF',
														'argumentCount' => '1-3'
												),
												'IFERROR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::IFERROR',
														'argumentCount' => '2'
												),
												'IMABS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMABS',
														'argumentCount' => '1'
												),
												'IMAGINARY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMAGINARY',
														'argumentCount' => '1'
												),
												'IMARGUMENT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMARGUMENT',
														'argumentCount' => '1'
												),
												'IMCONJUGATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMCONJUGATE',
														'argumentCount' => '1'
												),
												'IMCOS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMCOS',
														'argumentCount' => '1'
												),
												'IMDIV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMDIV',
														'argumentCount' => '2'
												),
												'IMEXP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMEXP',
														'argumentCount' => '1'
												),
												'IMLN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMLN',
														'argumentCount' => '1'
												),
												'IMLOG10' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMLOG10',
														'argumentCount' => '1'
												),
												'IMLOG2' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMLOG2',
														'argumentCount' => '1'
												),
												'IMPOWER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMPOWER',
														'argumentCount' => '2'
												),
												'IMPRODUCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMPRODUCT',
														'argumentCount' => '1+'
												),
												'IMREAL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMREAL',
														'argumentCount' => '1'
												),
												'IMSIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMSIN',
														'argumentCount' => '1'
												),
												'IMSQRT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMSQRT',
														'argumentCount' => '1'
												),
												'IMSUB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMSUB',
														'argumentCount' => '2'
												),
												'IMSUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::IMSUM',
														'argumentCount' => '1+'
												),
												'INDEX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::INDEX',
														'argumentCount' => '1-4'
												),
												'INDIRECT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::INDIRECT',
														'argumentCount' => '1,2',
														'passCellReference' => true
												),
												'INFO' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'INT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::INT',
														'argumentCount' => '1'
												),
												'INTERCEPT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::INTERCEPT',
														'argumentCount' => '2'
												),
												'INTRATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::INTRATE',
														'argumentCount' => '4,5'
												),
												'IPMT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::IPMT',
														'argumentCount' => '4-6'
												),
												'IRR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::IRR',
														'argumentCount' => '1,2'
												),
												'ISBLANK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_BLANK',
														'argumentCount' => '1'
												),
												'ISERR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_ERR',
														'argumentCount' => '1'
												),
												'ISERROR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_ERROR',
														'argumentCount' => '1'
												),
												'ISEVEN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_EVEN',
														'argumentCount' => '1'
												),
												'ISLOGICAL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_LOGICAL',
														'argumentCount' => '1'
												),
												'ISNA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_NA',
														'argumentCount' => '1'
												),
												'ISNONTEXT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_NONTEXT',
														'argumentCount' => '1'
												),
												'ISNUMBER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_NUMBER',
														'argumentCount' => '1'
												),
												'ISODD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_ODD',
														'argumentCount' => '1'
												),
												'ISPMT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::ISPMT',
														'argumentCount' => '4'
												),
												'ISREF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'ISTEXT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::IS_TEXT',
														'argumentCount' => '1'
												),
												'JIS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'KURT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::KURT',
														'argumentCount' => '1+'
												),
												'LARGE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::LARGE',
														'argumentCount' => '2'
												),
												'LCM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::LCM',
														'argumentCount' => '1+'
												),
												'LEFT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::LEFT',
														'argumentCount' => '1,2'
												),
												'LEFTB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::LEFT',
														'argumentCount' => '1,2'
												),
												'LEN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::STRINGLENGTH',
														'argumentCount' => '1'
												),
												'LENB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::STRINGLENGTH',
														'argumentCount' => '1'
												),
												'LINEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::LINEST',
														'argumentCount' => '1-4'
												),
												'LN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'log',
														'argumentCount' => '1'
												),
												'LOG' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::LOG_BASE',
														'argumentCount' => '1,2'
												),
												'LOG10' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'log10',
														'argumentCount' => '1'
												),
												'LOGEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::LOGEST',
														'argumentCount' => '1-4'
												),
												'LOGINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::LOGINV',
														'argumentCount' => '3'
												),
												'LOGNORMDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::LOGNORMDIST',
														'argumentCount' => '3'
												),
												'LOOKUP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::LOOKUP',
														'argumentCount' => '2,3'
												),
												'LOWER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::LOWERCASE',
														'argumentCount' => '1'
												),
												'MATCH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::MATCH',
														'argumentCount' => '2,3'
												),
												'MAX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MAX',
														'argumentCount' => '1+'
												),
												'MAXA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MAXA',
														'argumentCount' => '1+'
												),
												'MAXIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MAXIF',
														'argumentCount' => '2+'
												),
												'MDETERM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MDETERM',
														'argumentCount' => '1'
												),
												'MDURATION' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '5,6'
												),
												'MEDIAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MEDIAN',
														'argumentCount' => '1+'
												),
												'MEDIANIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2+'
												),
												'MID' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::MID',
														'argumentCount' => '3'
												),
												'MIDB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::MID',
														'argumentCount' => '3'
												),
												'MIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MIN',
														'argumentCount' => '1+'
												),
												'MINA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MINA',
														'argumentCount' => '1+'
												),
												'MINIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MINIF',
														'argumentCount' => '2+'
												),
												'MINUTE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::MINUTEOFHOUR',
														'argumentCount' => '1'
												),
												'MINVERSE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MINVERSE',
														'argumentCount' => '1'
												),
												'MIRR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::MIRR',
														'argumentCount' => '3'
												),
												'MMULT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MMULT',
														'argumentCount' => '2'
												),
												'MOD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MOD',
														'argumentCount' => '2'
												),
												'MODE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::MODE',
														'argumentCount' => '1+'
												),
												'MONTH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::MONTHOFYEAR',
														'argumentCount' => '1'
												),
												'MROUND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MROUND',
														'argumentCount' => '2'
												),
												'MULTINOMIAL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::MULTINOMIAL',
														'argumentCount' => '1+'
												),
												'N' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::N',
														'argumentCount' => '1'
												),
												'NA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::NA',
														'argumentCount' => '0'
												),
												'NEGBINOMDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::NEGBINOMDIST',
														'argumentCount' => '3'
												),
												'NETWORKDAYS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::NETWORKDAYS',
														'argumentCount' => '2+'
												),
												'NOMINAL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::NOMINAL',
														'argumentCount' => '2'
												),
												'NORMDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::NORMDIST',
														'argumentCount' => '4'
												),
												'NORMINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::NORMINV',
														'argumentCount' => '3'
												),
												'NORMSDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::NORMSDIST',
														'argumentCount' => '1'
												),
												'NORMSINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::NORMSINV',
														'argumentCount' => '1'
												),
												'NOT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::NOT',
														'argumentCount' => '1'
												),
												'NOW' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DATETIMENOW',
														'argumentCount' => '0'
												),
												'NPER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::NPER',
														'argumentCount' => '3-5'
												),
												'NPV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::NPV',
														'argumentCount' => '2+'
												),
												'OCT2BIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::OCTTOBIN',
														'argumentCount' => '1,2'
												),
												'OCT2DEC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::OCTTODEC',
														'argumentCount' => '1'
												),
												'OCT2HEX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_ENGINEERING,
														'functionCall' => 'PHPExcel_Calculation_Engineering::OCTTOHEX',
														'argumentCount' => '1,2'
												),
												'ODD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::ODD',
														'argumentCount' => '1'
												),
												'ODDFPRICE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '8,9'
												),
												'ODDFYIELD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '8,9'
												),
												'ODDLPRICE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '7,8'
												),
												'ODDLYIELD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '7,8'
												),
												'OFFSET' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::OFFSET',
														'argumentCount' => '3,5',
														'passCellReference' => true,
														'passByReference' => array(true)
												),
												'OR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::LOGICAL_OR',
														'argumentCount' => '1+'
												),
												'PEARSON' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::CORREL',
														'argumentCount' => '2'
												),
												'PERCENTILE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::PERCENTILE',
														'argumentCount' => '2'
												),
												'PERCENTRANK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::PERCENTRANK',
														'argumentCount' => '2,3'
												),
												'PERMUT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::PERMUT',
														'argumentCount' => '2'
												),
												'PHONETIC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'PI' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'pi',
														'argumentCount' => '0'
												),
												'PMT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PMT',
														'argumentCount' => '3-5'
												),
												'POISSON' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::POISSON',
														'argumentCount' => '3'
												),
												'POWER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::POWER',
														'argumentCount' => '2'
												),
												'PPMT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PPMT',
														'argumentCount' => '4-6'
												),
												'PRICE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PRICE',
														'argumentCount' => '6,7'
												),
												'PRICEDISC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PRICEDISC',
														'argumentCount' => '4,5'
												),
												'PRICEMAT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PRICEMAT',
														'argumentCount' => '5,6'
												),
												'PROB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '3,4'
												),
												'PRODUCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::PRODUCT',
														'argumentCount' => '1+'
												),
												'PROPER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::PROPERCASE',
														'argumentCount' => '1'
												),
												'PV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::PV',
														'argumentCount' => '3-5'
												),
												'QUARTILE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::QUARTILE',
														'argumentCount' => '2'
												),
												'QUOTIENT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::QUOTIENT',
														'argumentCount' => '2'
												),
												'RADIANS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'deg2rad',
														'argumentCount' => '1'
												),
												'RAND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::RAND',
														'argumentCount' => '0'
												),
												'RANDBETWEEN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::RAND',
														'argumentCount' => '2'
												),
												'RANK' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::RANK',
														'argumentCount' => '2,3'
												),
												'RATE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::RATE',
														'argumentCount' => '3-6'
												),
												'RECEIVED' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::RECEIVED',
														'argumentCount' => '4-5'
												),
												'REPLACE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::REPLACE',
														'argumentCount' => '4'
												),
												'REPLACEB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::REPLACE',
														'argumentCount' => '4'
												),
												'REPT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'str_repeat',
														'argumentCount' => '2'
												),
												'RIGHT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::RIGHT',
														'argumentCount' => '1,2'
												),
												'RIGHTB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::RIGHT',
														'argumentCount' => '1,2'
												),
												'ROMAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::ROMAN',
														'argumentCount' => '1,2'
												),
												'ROUND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'round',
														'argumentCount' => '2'
												),
												'ROUNDDOWN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::ROUNDDOWN',
														'argumentCount' => '2'
												),
												'ROUNDUP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::ROUNDUP',
														'argumentCount' => '2'
												),
												'ROW' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::ROW',
														'argumentCount' => '-1',
														'passByReference' => array(true)
												),
												'ROWS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::ROWS',
														'argumentCount' => '1'
												),
												'RSQ' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::RSQ',
														'argumentCount' => '2'
												),
												'RTD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1+'
												),
												'SEARCH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::SEARCHINSENSITIVE',
														'argumentCount' => '2,3'
												),
												'SEARCHB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::SEARCHINSENSITIVE',
														'argumentCount' => '2,3'
												),
												'SECOND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::SECONDOFMINUTE',
														'argumentCount' => '1'
												),
												'SERIESSUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SERIESSUM',
														'argumentCount' => '4'
												),
												'SIGN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SIGN',
														'argumentCount' => '1'
												),
												'SIN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'sin',
														'argumentCount' => '1'
												),
												'SINH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'sinh',
														'argumentCount' => '1'
												),
												'SKEW' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::SKEW',
														'argumentCount' => '1+'
												),
												'SLN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::SLN',
														'argumentCount' => '3'
												),
												'SLOPE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::SLOPE',
														'argumentCount' => '2'
												),
												'SMALL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::SMALL',
														'argumentCount' => '2'
												),
												'SQRT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'sqrt',
														'argumentCount' => '1'
												),
												'SQRTPI' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SQRTPI',
														'argumentCount' => '1'
												),
												'STANDARDIZE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STANDARDIZE',
														'argumentCount' => '3'
												),
												'STDEV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STDEV',
														'argumentCount' => '1+'
												),
												'STDEVA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STDEVA',
														'argumentCount' => '1+'
												),
												'STDEVP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STDEVP',
														'argumentCount' => '1+'
												),
												'STDEVPA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STDEVPA',
														'argumentCount' => '1+'
												),
												'STEYX' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::STEYX',
														'argumentCount' => '2'
												),
												'SUBSTITUTE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::SUBSTITUTE',
														'argumentCount' => '3,4'
												),
												'SUBTOTAL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUBTOTAL',
														'argumentCount' => '2+'
												),
												'SUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUM',
														'argumentCount' => '1+'
												),
												'SUMIF' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMIF',
														'argumentCount' => '2,3'
												),
												'SUMIFS' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '?'
												),
												'SUMPRODUCT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMPRODUCT',
														'argumentCount' => '1+'
												),
												'SUMSQ' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMSQ',
														'argumentCount' => '1+'
												),
												'SUMX2MY2' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMX2MY2',
														'argumentCount' => '2'
												),
												'SUMX2PY2' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMX2PY2',
														'argumentCount' => '2'
												),
												'SUMXMY2' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::SUMXMY2',
														'argumentCount' => '2'
												),
												'SYD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::SYD',
														'argumentCount' => '4'
												),
												'T' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::RETURNSTRING',
														'argumentCount' => '1'
												),
												'TAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'tan',
														'argumentCount' => '1'
												),
												'TANH' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'tanh',
														'argumentCount' => '1'
												),
												'TBILLEQ' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::TBILLEQ',
														'argumentCount' => '3'
												),
												'TBILLPRICE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::TBILLPRICE',
														'argumentCount' => '3'
												),
												'TBILLYIELD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::TBILLYIELD',
														'argumentCount' => '3'
												),
												'TDIST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::TDIST',
														'argumentCount' => '3'
												),
												'TEXT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::TEXTFORMAT',
														'argumentCount' => '2'
												),
												'TIME' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::TIME',
														'argumentCount' => '3'
												),
												'TIMEVALUE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::TIMEVALUE',
														'argumentCount' => '1'
												),
												'TINV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::TINV',
														'argumentCount' => '2'
												),
												'TODAY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DATENOW',
														'argumentCount' => '0'
												),
												'TRANSPOSE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::TRANSPOSE',
														'argumentCount' => '1'
												),
												'TREND' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::TREND',
														'argumentCount' => '1-4'
												),
												'TRIM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::TRIMSPACES',
														'argumentCount' => '1'
												),
												'TRIMMEAN' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::TRIMMEAN',
														'argumentCount' => '2'
												),
												'TRUE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOGICAL,
														'functionCall' => 'PHPExcel_Calculation_Logical::TRUE',
														'argumentCount' => '0'
												),
												'TRUNC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_MATH_AND_TRIG,
														'functionCall' => 'PHPExcel_Calculation_MathTrig::TRUNC',
														'argumentCount' => '1,2'
												),
												'TTEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '4'
												),
												'TYPE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::TYPE',
														'argumentCount' => '1'
												),
												'UPPER' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_TextData::UPPERCASE',
														'argumentCount' => '1'
												),
												'USDOLLAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '2'
												),
												'VALUE' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_TEXT_AND_DATA,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '1'
												),
												'VAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::VARFunc',
														'argumentCount' => '1+'
												),
												'VARA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::VARA',
														'argumentCount' => '1+'
												),
												'VARP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::VARP',
														'argumentCount' => '1+'
												),
												'VARPA' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::VARPA',
														'argumentCount' => '1+'
												),
												'VDB' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '5-7'
												),
												'VERSION' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_INFORMATION,
														'functionCall' => 'PHPExcel_Calculation_Functions::VERSION',
														'argumentCount' => '0'
												),
												'VLOOKUP' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_LOOKUP_AND_REFERENCE,
														'functionCall' => 'PHPExcel_Calculation_LookupRef::VLOOKUP',
														'argumentCount' => '3,4'
												),
												'WEEKDAY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::DAYOFWEEK',
														'argumentCount' => '1,2'
												),
												'WEEKNUM' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::WEEKOFYEAR',
														'argumentCount' => '1,2'
												),
												'WEIBULL' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::WEIBULL',
														'argumentCount' => '4'
												),
												'WORKDAY' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::WORKDAY',
														'argumentCount' => '2+'
												),
												'XIRR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::XIRR',
														'argumentCount' => '2,3'
												),
												'XNPV' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::XNPV',
														'argumentCount' => '3'
												),
												'YEAR' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::YEAR',
														'argumentCount' => '1'
												),
												'YEARFRAC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_DATE_AND_TIME,
														'functionCall' => 'PHPExcel_Calculation_DateTime::YEARFRAC',
														'argumentCount' => '2,3'
												),
												'YIELD' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Functions::DUMMY',
														'argumentCount' => '6,7'
												),
												'YIELDDISC' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::YIELDDISC',
														'argumentCount' => '4,5'
												),
												'YIELDMAT' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_FINANCIAL,
														'functionCall' => 'PHPExcel_Calculation_Financial::YIELDMAT',
														'argumentCount' => '5,6'
												),
												'ZTEST' => array(
														'category' => PHPExcel_Calculation_Function::CATEGORY_STATISTICAL,
														'functionCall' => 'PHPExcel_Calculation_Statistical::ZTEST',
														'argumentCount' => '2-3'
												)
	);


	//	Internal functions used for special control purposes
	private static $_controlFunctions = array(
			'MKMATRIX' => array(
					'argumentCount' => '*',
					'functionCall' => 'self::_mkMatrix'
			)
	);


	private function __construct(PHPExcel $workbook = null) {
		$setPrecision = (PHP_INT_SIZE == 4) ? 14 : 16;
		$this->_savedPrecision = ini_get('precision');
		if ($this->_savedPrecision < $setPrecision)
		{
			ini_set('precision', $setPrecision);
		}

		if ($workbook !== null)
		{
			self::$_workbookSets[$workbook->getID()] = $this;
		}

		$this->_workbook = $workbook;
		$this->_cyclicReferenceStack = new PHPExcel_CalcEngine_CyclicReferenceStack();
		$this->_debugLog = new PHPExcel_CalcEngine_Logger($this->_cyclicReferenceStack);
	} //	function __construct()


	public function __destruct() {
		if ($this->_savedPrecision != ini_get('precision'))
		{
			ini_set('precision', $this->_savedPrecision);
		}
	}

	private static function _loadLocales() {
		$localeFileDirectory = PHPEXCEL_ROOT . 'PHPExcel/locale/';
		foreach (glob($localeFileDirectory . '/*', GLOB_ONLYDIR) as $filename)
		{
			$filename = substr($filename, strlen($localeFileDirectory) + 1);
			if ($filename != 'en')
			{
				self::$_validLocaleLanguages[] = $filename;
			}
		}
	}

	/**
	 * Get an instance of this class
	 *
	 * @access    public
	 *
	 * @param   PHPExcel $workbook        Injected workbook for working with a PHPExcel object,
	 *                                    or NULL to create a standalone claculation engine
	 *
	 * @return PHPExcel_Calculation
	 */
	public static function getInstance(PHPExcel $workbook = null) {
		if ($workbook !== null)
		{
			if (isset(self::$_workbookSets[$workbook->getID()]))
			{
				return self::$_workbookSets[$workbook->getID()];
			}

			return new PHPExcel_Calculation($workbook);
		}

		if (!isset(self::$_instance) || (self::$_instance === null))
		{
			self::$_instance = new PHPExcel_Calculation();
		}

		return self::$_instance;
	} //	function getInstance()

	/**
	 * Unset an instance of this class
	 *
	 * @access    public
	 *
	 * @param   PHPExcel $workbook Injected workbook identifying the instance to unset
	 */
	public static function unsetInstance(PHPExcel $workbook = null) {
		if ($workbook !== null)
		{
			if (isset(self::$_workbookSets[$workbook->getID()]))
			{
				unset(self::$_workbookSets[$workbook->getID()]);
			}
		}
	}

	/**
	 * Flush the calculation cache for any existing instance of this class
	 *        but only if a PHPExcel_Calculation instance exists
	 *
	 * @access    public
	 * @return null
	 */
	public function flushInstance() {
		$this->clearCalculationCache();
	} //	function flushInstance()


	/**
	 * Get the debuglog for this claculation engine instance
	 *
	 * @access    public
	 * @return PHPExcel_CalcEngine_Logger
	 */
	public function getDebugLog() {
		return $this->_debugLog;
	}

	/**
	 * __clone implementation. Cloning should not be allowed in a Singleton!
	 *
	 * @access    public
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public final function __clone() {
		throw new PHPExcel_Calculation_Exception ('Cloning the calculation engine is not allowed!');
	} //	function __clone()


	/**
	 * Return the locale-specific translation of TRUE
	 *
	 * @access    public
	 * @return     string        locale-specific translation of TRUE
	 */
	public static function getTRUE() {
		return self::$_localeBoolean['TRUE'];
	}

	/**
	 * Return the locale-specific translation of FALSE
	 *
	 * @access    public
	 * @return     string        locale-specific translation of FALSE
	 */
	public static function getFALSE() {
		return self::$_localeBoolean['FALSE'];
	}

	/**
	 * Set the Array Return Type (Array or Value of first element in the array)
	 *
	 * @access    public
	 *
	 * @param     string $returnType Array return type
	 *
	 * @return     boolean                    Success or failure
	 */
	public static function setArrayReturnType($returnType) {
		if (($returnType == self::RETURN_ARRAY_AS_VALUE) || ($returnType == self::RETURN_ARRAY_AS_ERROR) || ($returnType == self::RETURN_ARRAY_AS_ARRAY))
		{
			self::$returnArrayAsType = $returnType;

			return true;
		}

		return false;
	} //	function setArrayReturnType()


	/**
	 * Return the Array Return Type (Array or Value of first element in the array)
	 *
	 * @access    public
	 * @return     string        $returnType            Array return type
	 */
	public static function getArrayReturnType() {
		return self::$returnArrayAsType;
	} //	function getArrayReturnType()


	/**
	 * Is calculation caching enabled?
	 *
	 * @access    public
	 * @return boolean
	 */
	public function getCalculationCacheEnabled() {
		return $this->_calculationCacheEnabled;
	} //	function getCalculationCacheEnabled()

	/**
	 * Enable/disable calculation cache
	 *
	 * @access    public
	 *
	 * @param boolean $pValue
	 */
	public function setCalculationCacheEnabled($pValue = true) {
		$this->_calculationCacheEnabled = $pValue;
		$this->clearCalculationCache();
	} //	function setCalculationCacheEnabled()


	/**
	 * Enable calculation cache
	 */
	public function enableCalculationCache() {
		$this->setCalculationCacheEnabled(true);
	} //	function enableCalculationCache()


	/**
	 * Disable calculation cache
	 */
	public function disableCalculationCache() {
		$this->setCalculationCacheEnabled(false);
	} //	function disableCalculationCache()


	/**
	 * Clear calculation cache
	 */
	public function clearCalculationCache() {
		$this->_calculationCache = array();
	} //	function clearCalculationCache()

	/**
	 * Clear calculation cache for a specified worksheet
	 *
	 * @param string $worksheetName
	 */
	public function clearCalculationCacheForWorksheet($worksheetName) {
		if (isset($this->_calculationCache[$worksheetName]))
		{
			unset($this->_calculationCache[$worksheetName]);
		}
	} //	function clearCalculationCacheForWorksheet()

	/**
	 * Rename calculation cache for a specified worksheet
	 *
	 * @param string $fromWorksheetName
	 * @param string $toWorksheetName
	 */
	public function renameCalculationCacheForWorksheet($fromWorksheetName, $toWorksheetName) {
		if (isset($this->_calculationCache[$fromWorksheetName]))
		{
			$this->_calculationCache[$toWorksheetName] = & $this->_calculationCache[$fromWorksheetName];
			unset($this->_calculationCache[$fromWorksheetName]);
		}
	} //	function renameCalculationCacheForWorksheet()


	/**
	 * Get the currently defined locale code
	 *
	 * @return string
	 */
	public function getLocale() {
		return self::$_localeLanguage;
	} //	function getLocale()


	/**
	 * Set the locale code
	 *
	 * @param string $locale The locale to use for formula translation
	 *
	 * @return boolean
	 */
	public function setLocale($locale = 'en_us') {
		//	Identify our locale and language
		$language = $locale = strtolower($locale);
		if (strpos($locale, '_') !== false)
		{
			list($language) = explode('_', $locale);
		}

		if (count(self::$_validLocaleLanguages) == 1)
			self::_loadLocales();

		//	Test whether we have any language data for this language (any locale)
		if (in_array($language, self::$_validLocaleLanguages))
		{
			//	initialise language/locale settings
			self::$_localeFunctions = array();
			self::$_localeArgumentSeparator = ',';
			self::$_localeBoolean = array('TRUE' => 'TRUE', 'FALSE' => 'FALSE', 'NULL' => 'NULL');
			//	Default is English, if user isn't requesting english, then read the necessary data from the locale files
			if ($locale != 'en_us')
			{
				//	Search for a file with a list of function names for locale
				$functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel' . DIRECTORY_SEPARATOR . 'locale' . DIRECTORY_SEPARATOR . str_replace('_', DIRECTORY_SEPARATOR, $locale) . DIRECTORY_SEPARATOR . 'functions';
				if (!file_exists($functionNamesFile))
				{
					//	If there isn't a locale specific function file, look for a language specific function file
					$functionNamesFile = PHPEXCEL_ROOT . 'PHPExcel' . DIRECTORY_SEPARATOR . 'locale' . DIRECTORY_SEPARATOR . $language . DIRECTORY_SEPARATOR . 'functions';
					if (!file_exists($functionNamesFile))
					{
						return false;
					}
				}
				//	Retrieve the list of locale or language specific function names
				$localeFunctions = file($functionNamesFile, FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);
				foreach ($localeFunctions as $localeFunction)
				{
					list($localeFunction) = explode('##', $localeFunction); //	Strip out comments
					if (strpos($localeFunction, '=') !== false)
					{
						list($fName, $lfName) = explode('=', $localeFunction);
						$fName = trim($fName);
						$lfName = trim($lfName);
						if ((isset(self::$_PHPExcelFunctions[$fName])) && ($lfName != '') && ($fName != $lfName))
						{
							self::$_localeFunctions[$fName] = $lfName;
						}
					}
				}
				//	Default the TRUE and FALSE constants to the locale names of the TRUE() and FALSE() functions
				if (isset(self::$_localeFunctions['TRUE']))
				{
					self::$_localeBoolean['TRUE'] = self::$_localeFunctions['TRUE'];
				}
				if (isset(self::$_localeFunctions['FALSE']))
				{
					self::$_localeBoolean['FALSE'] = self::$_localeFunctions['FALSE'];
				}

				$configFile = PHPEXCEL_ROOT . 'PHPExcel' . DIRECTORY_SEPARATOR . 'locale' . DIRECTORY_SEPARATOR . str_replace('_', DIRECTORY_SEPARATOR, $locale) . DIRECTORY_SEPARATOR . 'config';
				if (!file_exists($configFile))
				{
					$configFile = PHPEXCEL_ROOT . 'PHPExcel' . DIRECTORY_SEPARATOR . 'locale' . DIRECTORY_SEPARATOR . $language . DIRECTORY_SEPARATOR . 'config';
				}
				if (file_exists($configFile))
				{
					$localeSettings = file($configFile, FILE_IGNORE_NEW_LINES | FILE_SKIP_EMPTY_LINES);
					foreach ($localeSettings as $localeSetting)
					{
						list($localeSetting) = explode('##', $localeSetting); //	Strip out comments
						if (strpos($localeSetting, '=') !== false)
						{
							list($settingName, $settingValue) = explode('=', $localeSetting);
							$settingName = strtoupper(trim($settingName));
							switch ($settingName)
							{
								case 'ARGUMENTSEPARATOR' :
									self::$_localeArgumentSeparator = trim($settingValue);
									break;
							}
						}
					}
				}
			}

			self::$functionReplaceFromExcel = self::$functionReplaceToExcel = self::$functionReplaceFromLocale = self::$functionReplaceToLocale = null;
			self::$_localeLanguage = $locale;

			return true;
		}

		return false;
	} //	function setLocale()


	public static function _translateSeparator($fromSeparator, $toSeparator, $formula, &$inBraces) {
		$strlen = mb_strlen($formula);
		for ($i = 0; $i < $strlen; ++$i)
		{
			$chr = mb_substr($formula, $i, 1);
			switch ($chr)
			{
				case '{' :
					$inBraces = true;
					break;
				case '}' :
					$inBraces = false;
					break;
				case $fromSeparator :
					if (!$inBraces)
					{
						$formula = mb_substr($formula, 0, $i) . $toSeparator . mb_substr($formula, $i + 1);
					}
			}
		}

		return $formula;
	}

	private static function _translateFormula($from, $to, $formula, $fromSeparator, $toSeparator) {
		//	Convert any Excel function names to the required language
		if (self::$_localeLanguage !== 'en_us')
		{
			$inBraces = false;
			//	If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators
			if (strpos($formula, '"') !== false)
			{
				//	So instead we skip replacing in any quoted strings by only replacing in every other array element after we've exploded
				//		the formula
				$temp = explode('"', $formula);
				$i = false;
				foreach ($temp as &$value)
				{
					//	Only count/replace in alternating array entries
					if ($i = !$i)
					{
						$value = preg_replace($from, $to, $value);
						$value = self::_translateSeparator($fromSeparator, $toSeparator, $value, $inBraces);
					}
				}
				unset($value);
				//	Then rebuild the formula string
				$formula = implode('"', $temp);
			}
			else
			{
				//	If there's no quoted strings, then we do a simple count/replace
				$formula = preg_replace($from, $to, $formula);
				$formula = self::_translateSeparator($fromSeparator, $toSeparator, $formula, $inBraces);
			}
		}

		return $formula;
	}

	private static $functionReplaceFromExcel = null;
	private static $functionReplaceToLocale = null;

	public function _translateFormulaToLocale($formula) {
		if (self::$functionReplaceFromExcel === null)
		{
			self::$functionReplaceFromExcel = array();
			foreach (array_keys(self::$_localeFunctions) as $excelFunctionName)
			{
				self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelFunctionName) . '([\s]*\()/Ui';
			}
			foreach (array_keys(self::$_localeBoolean) as $excelBoolean)
			{
				self::$functionReplaceFromExcel[] = '/(@?[^\w\.])' . preg_quote($excelBoolean) . '([^\w\.])/Ui';
			}

		}

		if (self::$functionReplaceToLocale === null)
		{
			self::$functionReplaceToLocale = array();
			foreach (array_values(self::$_localeFunctions) as $localeFunctionName)
			{
				self::$functionReplaceToLocale[] = '$1' . trim($localeFunctionName) . '$2';
			}
			foreach (array_values(self::$_localeBoolean) as $localeBoolean)
			{
				self::$functionReplaceToLocale[] = '$1' . trim($localeBoolean) . '$2';
			}
		}

		return self::_translateFormula(self::$functionReplaceFromExcel, self::$functionReplaceToLocale, $formula, ',', self::$_localeArgumentSeparator);
	} //	function _translateFormulaToLocale()


	private static $functionReplaceFromLocale = null;
	private static $functionReplaceToExcel = null;

	public function _translateFormulaToEnglish($formula) {
		if (self::$functionReplaceFromLocale === null)
		{
			self::$functionReplaceFromLocale = array();
			foreach (array_values(self::$_localeFunctions) as $localeFunctionName)
			{
				self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($localeFunctionName) . '([\s]*\()/Ui';
			}
			foreach (array_values(self::$_localeBoolean) as $excelBoolean)
			{
				self::$functionReplaceFromLocale[] = '/(@?[^\w\.])' . preg_quote($excelBoolean) . '([^\w\.])/Ui';
			}
		}

		if (self::$functionReplaceToExcel === null)
		{
			self::$functionReplaceToExcel = array();
			foreach (array_keys(self::$_localeFunctions) as $excelFunctionName)
			{
				self::$functionReplaceToExcel[] = '$1' . trim($excelFunctionName) . '$2';
			}
			foreach (array_keys(self::$_localeBoolean) as $excelBoolean)
			{
				self::$functionReplaceToExcel[] = '$1' . trim($excelBoolean) . '$2';
			}
		}

		return self::_translateFormula(self::$functionReplaceFromLocale, self::$functionReplaceToExcel, $formula, self::$_localeArgumentSeparator, ',');
	} //	function _translateFormulaToEnglish()


	public static function _localeFunc($function) {
		if (self::$_localeLanguage !== 'en_us')
		{
			$functionName = trim($function, '(');
			if (isset(self::$_localeFunctions[$functionName]))
			{
				$brace = ($functionName != $function);
				$function = self::$_localeFunctions[$functionName];
				if ($brace)
				{
					$function .= '(';
				}
			}
		}

		return $function;
	}


	/**
	 * Wrap string values in quotes
	 *
	 * @param mixed $value
	 *
	 * @return mixed
	 */
	public static function _wrapResult($value) {
		if (is_string($value))
		{
			//	Error values cannot be "wrapped"
			if (preg_match('/^' . self::CALCULATION_REGEXP_ERROR . '$/i', $value, $match))
			{
				//	Return Excel errors "as is"
				return $value;
			}

			//	Return strings wrapped in quotes
			return '"' . $value . '"';
			//	Convert numeric errors to NaN error
		}
		else if ((is_float($value)) && ((is_nan($value)) || (is_infinite($value))))
		{
			return PHPExcel_Calculation_Functions::NaN();
		}

		return $value;
	} //	function _wrapResult()


	/**
	 * Remove quotes used as a wrapper to identify string values
	 *
	 * @param mixed $value
	 *
	 * @return mixed
	 */
	public static function _unwrapResult($value) {
		if (is_string($value))
		{
			if ((isset($value{0})) && ($value{0} == '"') && (substr($value, -1) == '"'))
			{
				return substr($value, 1, -1);
			}
			//	Convert numeric errors to NaN error
		}
		else if ((is_float($value)) && ((is_nan($value)) || (is_infinite($value))))
		{
			return PHPExcel_Calculation_Functions::NaN();
		}

		return $value;
	} //	function _unwrapResult()


	/**
	 * Calculate cell value (using formula from a cell ID)
	 * Retained for backward compatibility
	 *
	 * @access    public
	 *
	 * @param    PHPExcel_Cell $pCell Cell to calculate
	 *
	 * @return    mixed
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function calculate(PHPExcel_Cell $pCell = null) {
		try
		{
			return $this->calculateCellValue($pCell);
		} catch (PHPExcel_Exception $e)
		{
			throw new PHPExcel_Calculation_Exception($e->getMessage());
		}
	} //	function calculate()


	/**
	 * Calculate the value of a cell formula
	 *
	 * @access    public
	 *
	 * @param    PHPExcel_Cell $pCell    Cell to calculate
	 * @param    Boolean       $resetLog Flag indicating whether the debug log should be reset or not
	 *
	 * @return    mixed
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function calculateCellValue(PHPExcel_Cell $pCell = null, $resetLog = true) {
		if ($pCell === null)
		{
			return null;
		}

		$returnArrayAsType = self::$returnArrayAsType;
		if ($resetLog)
		{
			//	Initialise the logging settings if requested
			$this->formulaError = null;
			$this->_debugLog->clearLog();
			$this->_cyclicReferenceStack->clear();
			$this->_cyclicFormulaCount = 1;

			self::$returnArrayAsType = self::RETURN_ARRAY_AS_ARRAY;
		}

		//	Execute the calculation for the cell formula
		try
		{
			$result = self::_unwrapResult($this->_calculateFormulaValue($pCell->getValue(), $pCell->getCoordinate(), $pCell));
		} catch (PHPExcel_Exception $e)
		{
			throw new PHPExcel_Calculation_Exception($e->getMessage());
		}

		if ((is_array($result)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY))
		{
			self::$returnArrayAsType = $returnArrayAsType;
			$testResult = PHPExcel_Calculation_Functions::flattenArray($result);
			if (self::$returnArrayAsType == self::RETURN_ARRAY_AS_ERROR)
			{
				return PHPExcel_Calculation_Functions::VALUE();
			}
			//	If there's only a single cell in the array, then we allow it
			if (count($testResult) != 1)
			{
				//	If keys are numeric, then it's a matrix result rather than a cell range result, so we permit it
				$r = array_keys($result);
				$r = array_shift($r);
				if (!is_numeric($r))
				{
					return PHPExcel_Calculation_Functions::VALUE();
				}
				if (is_array($result[$r]))
				{
					$c = array_keys($result[$r]);
					$c = array_shift($c);
					if (!is_numeric($c))
					{
						return PHPExcel_Calculation_Functions::VALUE();
					}
				}
			}
			$result = array_shift($testResult);
		}
		self::$returnArrayAsType = $returnArrayAsType;


		if ($result === null)
		{
			return 0;
		}
		elseif ((is_float($result)) && ((is_nan($result)) || (is_infinite($result))))
		{
			return PHPExcel_Calculation_Functions::NaN();
		}

		return $result;
	} //	function calculateCellValue(


	/**
	 * Validate and parse a formula string
	 *
	 * @param    string $formula Formula to parse
	 *
	 * @return    array
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function parseFormula($formula) {
		//	Basic validation that this is indeed a formula
		//	We return an empty array if not
		$formula = trim($formula);
		if ((!isset($formula{0})) || ($formula{0} != '='))
			return array();
		$formula = ltrim(substr($formula, 1));
		if (!isset($formula{0}))
			return array();

		//	Parse the formula and return the token stack
		return $this->_parseFormula($formula);
	} //	function parseFormula()


	/**
	 * Calculate the value of a formula
	 *
	 * @param    string        $formula Formula to parse
	 * @param    string        $cellID  Address of the cell to calculate
	 * @param    PHPExcel_Cell $pCell   Cell to calculate
	 *
	 * @return    mixed
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function calculateFormula($formula, $cellID = null, PHPExcel_Cell $pCell = null) {
		//	Initialise the logging settings
		$this->formulaError = null;
		$this->_debugLog->clearLog();
		$this->_cyclicReferenceStack->clear();

		//	Disable calculation cacheing because it only applies to cell calculations, not straight formulae
		//	But don't actually flush any cache
		$resetCache = $this->getCalculationCacheEnabled();
		$this->_calculationCacheEnabled = false;
		//	Execute the calculation
		try
		{
			$result = self::_unwrapResult($this->_calculateFormulaValue($formula, $cellID, $pCell));
		} catch (PHPExcel_Exception $e)
		{
			throw new PHPExcel_Calculation_Exception($e->getMessage());
		}

		//	Reset calculation cacheing to its previous state
		$this->_calculationCacheEnabled = $resetCache;

		return $result;
	} //	function calculateFormula()


	public function getValueFromCache($worksheetName, $cellID, &$cellValue) {
		// Is calculation cacheing enabled?
		// Is the value present in calculation cache?
		//echo 'Test cache for ',$worksheetName,'!',$cellID,PHP_EOL;
		$this->_debugLog->writeDebugLog('Testing cache value for cell ', $worksheetName, '!', $cellID);
		if (($this->_calculationCacheEnabled) && (isset($this->_calculationCache[$worksheetName][$cellID])))
		{
			//echo 'Retrieve from cache',PHP_EOL;
			$this->_debugLog->writeDebugLog('Retrieving value for cell ', $worksheetName, '!', $cellID, ' from cache');
			// Return the cached result
			$cellValue = $this->_calculationCache[$worksheetName][$cellID];

			return true;
		}

		return false;
	}

	public function saveValueToCache($worksheetName, $cellID, $cellValue) {
		if ($this->_calculationCacheEnabled)
		{
			$this->_calculationCache[$worksheetName][$cellID] = $cellValue;
		}
	}

	/**
	 * Parse a cell formula and calculate its value
	 *
	 * @param    string        $formula The formula to parse and calculate
	 * @param    string        $cellID  The ID (e.g. A3) of the cell that we are calculating
	 * @param    PHPExcel_Cell $pCell   Cell to calculate
	 *
	 * @return    mixed
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function _calculateFormulaValue($formula, $cellID = null, PHPExcel_Cell $pCell = null) {
		$cellValue = '';

		//	Basic validation that this is indeed a formula
		//	We simply return the cell value if not
		$formula = trim($formula);
		if ($formula{0} != '=')
			return self::_wrapResult($formula);
		$formula = ltrim(substr($formula, 1));
		if (!isset($formula{0}))
			return self::_wrapResult($formula);

		$pCellParent = ($pCell !== null) ? $pCell->getWorksheet() : null;
		$wsTitle = ($pCellParent !== null) ? $pCellParent->getTitle() : "\x00Wrk";

		if (($cellID !== null) && ($this->getValueFromCache($wsTitle, $cellID, $cellValue)))
		{
			return $cellValue;
		}

		if (($wsTitle{0} !== "\x00") && ($this->_cyclicReferenceStack->onStack($wsTitle . '!' . $cellID)))
		{
			if ($this->cyclicFormulaCount <= 0)
			{
				return $this->_raiseFormulaError('Cyclic Reference in Formula');
			}
			elseif (($this->_cyclicFormulaCount >= $this->cyclicFormulaCount) && ($this->_cyclicFormulaCell == $wsTitle . '!' . $cellID))
			{
				return $cellValue;
			}
			elseif ($this->_cyclicFormulaCell == $wsTitle . '!' . $cellID)
			{
				++$this->_cyclicFormulaCount;
				if ($this->_cyclicFormulaCount >= $this->cyclicFormulaCount)
				{
					return $cellValue;
				}
			}
			elseif ($this->_cyclicFormulaCell == '')
			{
				$this->_cyclicFormulaCell = $wsTitle . '!' . $cellID;
				if ($this->_cyclicFormulaCount >= $this->cyclicFormulaCount)
				{
					return $cellValue;
				}
			}
		}

		//	Parse the formula onto the token stack and calculate the value
		$this->_cyclicReferenceStack->push($wsTitle . '!' . $cellID);
		$cellValue = $this->_processTokenStack($this->_parseFormula($formula, $pCell), $cellID, $pCell);
		$this->_cyclicReferenceStack->pop();

		// Save to calculation cache
		if ($cellID !== null)
		{
			$this->saveValueToCache($wsTitle, $cellID, $cellValue);
		}

		//	Return the calculated value
		return $cellValue;
	} //	function _calculateFormulaValue()


	/**
	 * Ensure that paired matrix operands are both matrices and of the same size
	 *
	 * @param    mixed   &$operand1               First matrix operand
	 * @param    mixed   &$operand2               Second matrix operand
	 * @param    integer $resize                  Flag indicating whether the matrices should be resized to match
	 *                                            and (if so), whether the smaller dimension should grow or the
	 *                                            larger should shrink.
	 *                                            0 = no resize
	 *                                            1 = shrink to fit
	 *                                            2 = extend to fit
	 */
	private static function _checkMatrixOperands(&$operand1, &$operand2, $resize = 1) {
		//	Examine each of the two operands, and turn them into an array if they aren't one already
		//	Note that this function should only be called if one or both of the operand is already an array
		if (!is_array($operand1))
		{
			list($matrixRows, $matrixColumns) = self::_getMatrixDimensions($operand2);
			$operand1 = array_fill(0, $matrixRows, array_fill(0, $matrixColumns, $operand1));
			$resize = 0;
		}
		elseif (!is_array($operand2))
		{
			list($matrixRows, $matrixColumns) = self::_getMatrixDimensions($operand1);
			$operand2 = array_fill(0, $matrixRows, array_fill(0, $matrixColumns, $operand2));
			$resize = 0;
		}

		list($matrix1Rows, $matrix1Columns) = self::_getMatrixDimensions($operand1);
		list($matrix2Rows, $matrix2Columns) = self::_getMatrixDimensions($operand2);
		if (($matrix1Rows == $matrix2Columns) && ($matrix2Rows == $matrix1Columns))
		{
			$resize = 1;
		}

		if ($resize == 2)
		{
			//	Given two matrices of (potentially) unequal size, convert the smaller in each dimension to match the larger
			self::_resizeMatricesExtend($operand1, $operand2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns);
		}
		elseif ($resize == 1)
		{
			//	Given two matrices of (potentially) unequal size, convert the larger in each dimension to match the smaller
			self::_resizeMatricesShrink($operand1, $operand2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns);
		}

		return array($matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns);
	} //	function _checkMatrixOperands()


	/**
	 * Read the dimensions of a matrix, and re-index it with straight numeric keys starting from row 0, column 0
	 *
	 * @param    mixed &$matrix matrix operand
	 *
	 * @return    array        An array comprising the number of rows, and number of columns
	 */
	public static function _getMatrixDimensions(&$matrix) {
		$matrixRows = count($matrix);
		$matrixColumns = 0;
		foreach ($matrix as $rowKey => $rowValue)
		{
			$matrixColumns = max(count($rowValue), $matrixColumns);
			if (!is_array($rowValue))
			{
				$matrix[$rowKey] = array($rowValue);
			}
			else
			{
				$matrix[$rowKey] = array_values($rowValue);
			}
		}
		$matrix = array_values($matrix);

		return array($matrixRows, $matrixColumns);
	} //	function _getMatrixDimensions()


	/**
	 * Ensure that paired matrix operands are both matrices of the same size
	 *
	 * @param    mixed   &$matrix1       First matrix operand
	 * @param    mixed   &$matrix2       Second matrix operand
	 * @param    integer $matrix1Rows    Row size of first matrix operand
	 * @param    integer $matrix1Columns Column size of first matrix operand
	 * @param    integer $matrix2Rows    Row size of second matrix operand
	 * @param    integer $matrix2Columns Column size of second matrix operand
	 */
	private static function _resizeMatricesShrink(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns) {
		if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows))
		{
			if ($matrix2Rows < $matrix1Rows)
			{
				for ($i = $matrix2Rows; $i < $matrix1Rows; ++$i)
				{
					unset($matrix1[$i]);
				}
			}
			if ($matrix2Columns < $matrix1Columns)
			{
				for ($i = 0; $i < $matrix1Rows; ++$i)
				{
					for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j)
					{
						unset($matrix1[$i][$j]);
					}
				}
			}
		}

		if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows))
		{
			if ($matrix1Rows < $matrix2Rows)
			{
				for ($i = $matrix1Rows; $i < $matrix2Rows; ++$i)
				{
					unset($matrix2[$i]);
				}
			}
			if ($matrix1Columns < $matrix2Columns)
			{
				for ($i = 0; $i < $matrix2Rows; ++$i)
				{
					for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j)
					{
						unset($matrix2[$i][$j]);
					}
				}
			}
		}
	} //	function _resizeMatricesShrink()


	/**
	 * Ensure that paired matrix operands are both matrices of the same size
	 *
	 * @param    mixed   &$matrix1       First matrix operand
	 * @param    mixed   &$matrix2       Second matrix operand
	 * @param    integer $matrix1Rows    Row size of first matrix operand
	 * @param    integer $matrix1Columns Column size of first matrix operand
	 * @param    integer $matrix2Rows    Row size of second matrix operand
	 * @param    integer $matrix2Columns Column size of second matrix operand
	 */
	private static function _resizeMatricesExtend(&$matrix1, &$matrix2, $matrix1Rows, $matrix1Columns, $matrix2Rows, $matrix2Columns) {
		if (($matrix2Columns < $matrix1Columns) || ($matrix2Rows < $matrix1Rows))
		{
			if ($matrix2Columns < $matrix1Columns)
			{
				for ($i = 0; $i < $matrix2Rows; ++$i)
				{
					$x = $matrix2[$i][$matrix2Columns - 1];
					for ($j = $matrix2Columns; $j < $matrix1Columns; ++$j)
					{
						$matrix2[$i][$j] = $x;
					}
				}
			}
			if ($matrix2Rows < $matrix1Rows)
			{
				$x = $matrix2[$matrix2Rows - 1];
				for ($i = 0; $i < $matrix1Rows; ++$i)
				{
					$matrix2[$i] = $x;
				}
			}
		}

		if (($matrix1Columns < $matrix2Columns) || ($matrix1Rows < $matrix2Rows))
		{
			if ($matrix1Columns < $matrix2Columns)
			{
				for ($i = 0; $i < $matrix1Rows; ++$i)
				{
					$x = $matrix1[$i][$matrix1Columns - 1];
					for ($j = $matrix1Columns; $j < $matrix2Columns; ++$j)
					{
						$matrix1[$i][$j] = $x;
					}
				}
			}
			if ($matrix1Rows < $matrix2Rows)
			{
				$x = $matrix1[$matrix1Rows - 1];
				for ($i = 0; $i < $matrix2Rows; ++$i)
				{
					$matrix1[$i] = $x;
				}
			}
		}
	} //	function _resizeMatricesExtend()


	/**
	 * Format details of an operand for display in the log (based on operand type)
	 *
	 * @param    mixed $value First matrix operand
	 *
	 * @return    mixed
	 */
	private function _showValue($value) {
		if ($this->_debugLog->getWriteDebugLog())
		{
			$testArray = PHPExcel_Calculation_Functions::flattenArray($value);
			if (count($testArray) == 1)
			{
				$value = array_pop($testArray);
			}

			if (is_array($value))
			{
				$returnMatrix = array();
				$pad = $rpad = ', ';
				foreach ($value as $row)
				{
					if (is_array($row))
					{
						$returnMatrix[] = implode($pad, array_map(array($this, '_showValue'), $row));
						$rpad = '; ';
					}
					else
					{
						$returnMatrix[] = $this->_showValue($row);
					}
				}

				return '{ ' . implode($rpad, $returnMatrix) . ' }';
			}
			elseif (is_string($value) && (trim($value, '"') == $value))
			{
				return '"' . $value . '"';
			}
			elseif (is_bool($value))
			{
				return ($value) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
			}
		}

		return PHPExcel_Calculation_Functions::flattenSingleValue($value);
	} //	function _showValue()


	/**
	 * Format type and details of an operand for display in the log (based on operand type)
	 *
	 * @param    mixed $value First matrix operand
	 *
	 * @return    mixed
	 */
	private function _showTypeDetails($value) {
		if ($this->_debugLog->getWriteDebugLog())
		{
			$testArray = PHPExcel_Calculation_Functions::flattenArray($value);
			if (count($testArray) == 1)
			{
				$value = array_pop($testArray);
			}

			if ($value === null)
			{
				return 'a NULL value';
			}
			elseif (is_float($value))
			{
				$typeString = 'a floating point number';
			}
			elseif (is_int($value))
			{
				$typeString = 'an integer number';
			}
			elseif (is_bool($value))
			{
				$typeString = 'a boolean';
			}
			elseif (is_array($value))
			{
				$typeString = 'a matrix';
			}
			else
			{
				if ($value == '')
				{
					return 'an empty string';
				}
				elseif ($value{0} == '#')
				{
					return 'a ' . $value . ' error';
				}
				else
				{
					$typeString = 'a string';
				}
			}

			return $typeString . ' with a value of ' . $this->_showValue($value);
		}
	} //	function _showTypeDetails()


	private static function _convertMatrixReferences($formula) {
		static $matrixReplaceFrom = array('{', ';', '}');
		static $matrixReplaceTo = array('MKMATRIX(MKMATRIX(', '),MKMATRIX(', '))');

		//	Convert any Excel matrix references to the MKMATRIX() function
		if (strpos($formula, '{') !== false)
		{
			//	If there is the possibility of braces within a quoted string, then we don't treat those as matrix indicators
			if (strpos($formula, '"') !== false)
			{
				//	So instead we skip replacing in any quoted strings by only replacing in every other array element after we've exploded
				//		the formula
				$temp = explode('"', $formula);
				//	Open and Closed counts used for trapping mismatched braces in the formula
				$openCount = $closeCount = 0;
				$i = false;
				foreach ($temp as &$value)
				{
					//	Only count/replace in alternating array entries
					if ($i = !$i)
					{
						$openCount += substr_count($value, '{');
						$closeCount += substr_count($value, '}');
						$value = str_replace($matrixReplaceFrom, $matrixReplaceTo, $value);
					}
				}
				unset($value);
				//	Then rebuild the formula string
				$formula = implode('"', $temp);
			}
			else
			{
				//	If there's no quoted strings, then we do a simple count/replace
				$openCount = substr_count($formula, '{');
				$closeCount = substr_count($formula, '}');
				$formula = str_replace($matrixReplaceFrom, $matrixReplaceTo, $formula);
			}
			//	Trap for mismatched braces and trigger an appropriate error
			if ($openCount < $closeCount)
			{
				if ($openCount > 0)
				{
					return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '}'");
				}
				else
				{
					return $this->_raiseFormulaError("Formula Error: Unexpected '}' encountered");
				}
			}
			elseif ($openCount > $closeCount)
			{
				if ($closeCount > 0)
				{
					return $this->_raiseFormulaError("Formula Error: Mismatched matrix braces '{'");
				}
				else
				{
					return $this->_raiseFormulaError("Formula Error: Unexpected '{' encountered");
				}
			}
		}

		return $formula;
	} //	function _convertMatrixReferences()


	private static function _mkMatrix() {
		return func_get_args();
	} //	function _mkMatrix()


	//	Binary Operators
	//	These operators always work on two values
	//	Array key is the operator, the value indicates whether this is a left or right associative operator
	private static $_operatorAssociativity = array(
			'^' => 0, //	Exponentiation
			'*' => 0,
			'/' => 0, //	Multiplication and Division
			'+' => 0,
			'-' => 0, //	Addition and Subtraction
			'&' => 0, //	Concatenation
			'|' => 0,
			':' => 0, //	Intersect and Range
			'>' => 0,
			'<' => 0,
			'=' => 0,
			'>=' => 0,
			'<=' => 0,
			'<>' => 0 //	Comparison
	);

	//	Comparison (Boolean) Operators
	//	These operators work on two values, but always return a boolean result
	private static $_comparisonOperators = array('>' => true, '<' => true, '=' => true, '>=' => true, '<=' => true, '<>' => true);

	//	Operator Precedence
	//	This list includes all valid operators, whether binary (including boolean) or unary (such as %)
	//	Array key is the operator, the value is its precedence
	private static $_operatorPrecedence = array(
			':' => 8, //	Range
			'|' => 7, //	Intersect
			'~' => 6, //	Negation
			'%' => 5, //	Percentage
			'^' => 4, //	Exponentiation
			'*' => 3,
			'/' => 3, //	Multiplication and Division
			'+' => 2,
			'-' => 2, //	Addition and Subtraction
			'&' => 1, //	Concatenation
			'>' => 0,
			'<' => 0,
			'=' => 0,
			'>=' => 0,
			'<=' => 0,
			'<>' => 0 //	Comparison
	);

	// Convert infix to postfix notation
	private function _parseFormula($formula, PHPExcel_Cell $pCell = null) {
		if (($formula = self::_convertMatrixReferences(trim($formula))) === false)
		{
			return false;
		}

		//	If we're using cell caching, then $pCell may well be flushed back to the cache (which detaches the parent worksheet),
		//		so we store the parent worksheet so that we can re-attach it when necessary
		$pCellParent = ($pCell !== null) ? $pCell->getWorksheet() : null;

		$regexpMatchString = '/^(' . self::CALCULATION_REGEXP_FUNCTION . '|' . self::CALCULATION_REGEXP_NUMBER . '|' . self::CALCULATION_REGEXP_STRING . '|' . self::CALCULATION_REGEXP_OPENBRACE . '|' . self::CALCULATION_REGEXP_CELLREF . '|' . self::CALCULATION_REGEXP_NAMEDRANGE . '|' . self::CALCULATION_REGEXP_ERROR . ')/si';

		//	Start with initialisation
		$index = 0;
		$stack = new PHPExcel_Calculation_Token_Stack;
		$output = array();
		$expectingOperator = false; //	We use this test in syntax-checking the expression to determine when a
		//		- is a negation or + is a positive operator rather than an operation
		$expectingOperand = false; //	We use this test in syntax-checking the expression to determine whether an operand
		//		should be null in a function call
		//	The guts of the lexical parser
		//	Loop through the formula extracting each operator and operand in turn
		while (true)
		{
			//echo 'Assessing Expression '.substr($formula, $index),PHP_EOL;
			$opCharacter = $formula{$index}; //	Get the first character of the value at the current index position
			//echo 'Initial character of expression block is '.$opCharacter,PHP_EOL;
			if ((isset(self::$_comparisonOperators[$opCharacter])) && (strlen($formula) > $index) && (isset(self::$_comparisonOperators[$formula{$index + 1}])))
			{
				$opCharacter .= $formula{++$index};
				//echo 'Initial character of expression block is comparison operator '.$opCharacter.PHP_EOL;
			}

			//	Find out if we're currently at the beginning of a number, variable, cell reference, function, parenthesis or operand
			$isOperandOrFunction = preg_match($regexpMatchString, substr($formula, $index), $match);
			//echo '$isOperandOrFunction is '.(($isOperandOrFunction) ? 'True' : 'False').PHP_EOL;
			//var_dump($match);

			if ($opCharacter == '-' && !$expectingOperator)
			{ //	Is it a negation instead of a minus?
				//echo 'Element is a Negation operator',PHP_EOL;
				$stack->push('Unary Operator', '~'); //	Put a negation on the stack
				++$index; //		and drop the negation symbol
			}
			elseif ($opCharacter == '%' && $expectingOperator)
			{
				//echo 'Element is a Percentage operator',PHP_EOL;
				$stack->push('Unary Operator', '%'); //	Put a percentage on the stack
				++$index;
			}
			elseif ($opCharacter == '+' && !$expectingOperator)
			{ //	Positive (unary plus rather than binary operator plus) can be discarded?
				//echo 'Element is a Positive number, not Plus operator',PHP_EOL;
				++$index; //	Drop the redundant plus symbol
			}
			elseif ((($opCharacter == '~') || ($opCharacter == '|')) && (!$isOperandOrFunction))
			{ //	We have to explicitly deny a tilde or pipe, because they are legal
				return $this->_raiseFormulaError("Formula Error: Illegal character '~'"); //		on the stack but not in the input expression

			}
			elseif ((isset(self::$_operators[$opCharacter]) or $isOperandOrFunction) && $expectingOperator)
			{ //	Are we putting an operator on the stack?
				//echo 'Element with value '.$opCharacter.' is an Operator',PHP_EOL;
				while ($stack->count() > 0 && ($o2 = $stack->last()) && isset(self::$_operators[$o2['value']]) && @(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_operatorPrecedence[$o2['value']]))
				{
					$output[] = $stack->pop(); //	Swap operands and higher precedence operators from the stack to the output
				}
				$stack->push('Binary Operator', $opCharacter); //	Finally put our current operator onto the stack
				++$index;
				$expectingOperator = false;

			}
			elseif ($opCharacter == ')' && $expectingOperator)
			{ //	Are we expecting to close a parenthesis?
				//echo 'Element is a Closing bracket',PHP_EOL;
				$expectingOperand = false;
				while (($o2 = $stack->pop()) && $o2['value'] != '(')
				{ //	Pop off the stack back to the last (
					if ($o2 === null)
						return $this->_raiseFormulaError('Formula Error: Unexpected closing brace ")"');
					else $output[] = $o2;
				}
				$d = $stack->last(2);
				if (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $d['value'], $matches))
				{ //	Did this parenthesis just close a function?
					$functionName = $matches[1]; //	Get the function name
					//echo 'Closed Function is '.$functionName,PHP_EOL;
					$d = $stack->pop();
					$argumentCount = $d['value']; //	See how many arguments there were (argument count is the next value stored on the stack)
					//if ($argumentCount == 0) {
					//	echo 'With no arguments',PHP_EOL;
					//} elseif ($argumentCount == 1) {
					//	echo 'With 1 argument',PHP_EOL;
					//} else {
					//	echo 'With '.$argumentCount.' arguments',PHP_EOL;
					//}
					$output[] = $d; //	Dump the argument count on the output
					$output[] = $stack->pop(); //	Pop the function and push onto the output
					if (isset(self::$_controlFunctions[$functionName]))
					{
						//echo 'Built-in function '.$functionName,PHP_EOL;
						$expectedArgumentCount = self::$_controlFunctions[$functionName]['argumentCount'];
						$functionCall = self::$_controlFunctions[$functionName]['functionCall'];
					}
					elseif (isset(self::$_PHPExcelFunctions[$functionName]))
					{
						//echo 'PHPExcel function '.$functionName,PHP_EOL;
						$expectedArgumentCount = self::$_PHPExcelFunctions[$functionName]['argumentCount'];
						$functionCall = self::$_PHPExcelFunctions[$functionName]['functionCall'];
					}
					else
					{ // did we somehow push a non-function on the stack? this should never happen
						return $this->_raiseFormulaError("Formula Error: Internal error, non-function on stack");
					}
					//	Check the argument count
					$argumentCountError = false;
					if (is_numeric($expectedArgumentCount))
					{
						if ($expectedArgumentCount < 0)
						{
							//echo '$expectedArgumentCount is between 0 and '.abs($expectedArgumentCount),PHP_EOL;
							if ($argumentCount > abs($expectedArgumentCount))
							{
								$argumentCountError = true;
								$expectedArgumentCountString = 'no more than ' . abs($expectedArgumentCount);
							}
						}
						else
						{
							//echo '$expectedArgumentCount is numeric '.$expectedArgumentCount,PHP_EOL;
							if ($argumentCount != $expectedArgumentCount)
							{
								$argumentCountError = true;
								$expectedArgumentCountString = $expectedArgumentCount;
							}
						}
					}
					elseif ($expectedArgumentCount != '*')
					{
						$isOperandOrFunction = preg_match('/(\d*)([-+,])(\d*)/', $expectedArgumentCount, $argMatch);
						//print_r($argMatch);
						//echo PHP_EOL;
						switch ($argMatch[2])
						{
							case '+' :
								if ($argumentCount < $argMatch[1])
								{
									$argumentCountError = true;
									$expectedArgumentCountString = $argMatch[1] . ' or more ';
								}
								break;
							case '-' :
								if (($argumentCount < $argMatch[1]) || ($argumentCount > $argMatch[3]))
								{
									$argumentCountError = true;
									$expectedArgumentCountString = 'between ' . $argMatch[1] . ' and ' . $argMatch[3];
								}
								break;
							case ',' :
								if (($argumentCount != $argMatch[1]) && ($argumentCount != $argMatch[3]))
								{
									$argumentCountError = true;
									$expectedArgumentCountString = 'either ' . $argMatch[1] . ' or ' . $argMatch[3];
								}
								break;
						}
					}
					if ($argumentCountError)
					{
						return $this->_raiseFormulaError("Formula Error: Wrong number of arguments for $functionName() function: $argumentCount given, " . $expectedArgumentCountString . " expected");
					}
				}
				++$index;

			}
			elseif ($opCharacter == ',')
			{ //	Is this the separator for function arguments?
				//echo 'Element is a Function argument separator',PHP_EOL;
				while (($o2 = $stack->pop()) && $o2['value'] != '(')
				{ //	Pop off the stack back to the last (
					if ($o2 === null)
						return $this->_raiseFormulaError("Formula Error: Unexpected ,");
					else $output[] = $o2; // pop the argument expression stuff and push onto the output
				}
				//	If we've a comma when we're expecting an operand, then what we actually have is a null operand;
				//		so push a null onto the stack
				if (($expectingOperand) || (!$expectingOperator))
				{
					$output[] = array('type' => 'NULL Value', 'value' => self::$_ExcelConstants['NULL'], 'reference' => null);
				}
				// make sure there was a function
				$d = $stack->last(2);
				if (!preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $d['value'], $matches))
					return $this->_raiseFormulaError("Formula Error: Unexpected ,");
				$d = $stack->pop();
				$stack->push($d['type'], ++$d['value'], $d['reference']); // increment the argument count
				$stack->push('Brace', '('); // put the ( back on, we'll need to pop back to it again
				$expectingOperator = false;
				$expectingOperand = true;
				++$index;

			}
			elseif ($opCharacter == '(' && !$expectingOperator)
			{
				//				echo 'Element is an Opening Bracket<br />';
				$stack->push('Brace', '(');
				++$index;

			}
			elseif ($isOperandOrFunction && !$expectingOperator)
			{ // do we now have a function/variable/number?
				$expectingOperator = true;
				$expectingOperand = false;
				$val = $match[1];
				$length = strlen($val);
				//				echo 'Element with value '.$val.' is an Operand, Variable, Constant, String, Number, Cell Reference or Function<br />';

				if (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $val, $matches))
				{
					$val = preg_replace('/\s/', '', $val);
					//					echo 'Element '.$val.' is a Function<br />';
					if (isset(self::$_PHPExcelFunctions[strtoupper($matches[1])]) || isset(self::$_controlFunctions[strtoupper($matches[1])]))
					{ // it's a function
						$stack->push('Function', strtoupper($val));
						$ax = preg_match('/^\s*(\s*\))/i', substr($formula, $index + $length), $amatch);
						if ($ax)
						{
							$stack->push('Operand Count for Function ' . strtoupper($val) . ')', 0);
							$expectingOperator = true;
						}
						else
						{
							$stack->push('Operand Count for Function ' . strtoupper($val) . ')', 1);
							$expectingOperator = false;
						}
						$stack->push('Brace', '(');
					}
					else
					{ // it's a var w/ implicit multiplication
						$output[] = array('type' => 'Value', 'value' => $matches[1], 'reference' => null);
					}
				}
				elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $val, $matches))
				{
					//					echo 'Element '.$val.' is a Cell reference<br />';
					//	Watch for this case-change when modifying to allow cell references in different worksheets...
					//	Should only be applied to the actual cell column, not the worksheet name

					//	If the last entry on the stack was a : operator, then we have a cell range reference
					$testPrevOp = $stack->last(1);
					if ($testPrevOp['value'] == ':')
					{
						//	If we have a worksheet reference, then we're playing with a 3D reference
						if ($matches[2] == '')
						{
							//	Otherwise, we 'inherit' the worksheet reference from the start cell reference
							//	The start of the cell range reference should be the last entry in $output
							$startCellRef = $output[count($output) - 1]['value'];
							preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $startCellRef, $startMatches);
							if ($startMatches[2] > '')
							{
								$val = $startMatches[2] . '!' . $val;
							}
						}
						else
						{
							return $this->_raiseFormulaError("3D Range references are not yet supported");
						}
					}

					$output[] = array('type' => 'Cell Reference', 'value' => $val, 'reference' => $val);
					//					$expectingOperator = FALSE;
				}
				else
				{ // it's a variable, constant, string, number or boolean
					//					echo 'Element is a Variable, Constant, String, Number or Boolean<br />';
					//	If the last entry on the stack was a : operator, then we may have a row or column range reference
					$testPrevOp = $stack->last(1);
					if ($testPrevOp['value'] == ':')
					{
						$startRowColRef = $output[count($output) - 1]['value'];
						$rangeWS1 = '';
						if (strpos('!', $startRowColRef) !== false)
						{
							list($rangeWS1, $startRowColRef) = explode('!', $startRowColRef);
						}
						if ($rangeWS1 != '')
							$rangeWS1 .= '!';
						$rangeWS2 = $rangeWS1;
						if (strpos('!', $val) !== false)
						{
							list($rangeWS2, $val) = explode('!', $val);
						}
						if ($rangeWS2 != '')
							$rangeWS2 .= '!';
						if ((is_integer($startRowColRef)) && (ctype_digit($val)) && ($startRowColRef <= 1048576) && ($val <= 1048576))
						{
							//	Row range
							$endRowColRef = ($pCellParent !== null) ? $pCellParent->getHighestColumn() : 'XFD'; //	Max 16,384 columns for Excel2007
							$output[count($output) - 1]['value'] = $rangeWS1 . 'A' . $startRowColRef;
							$val = $rangeWS2 . $endRowColRef . $val;
						}
						elseif ((ctype_alpha($startRowColRef)) && (ctype_alpha($val)) && (strlen($startRowColRef) <= 3) && (strlen($val) <= 3))
						{
							//	Column range
							$endRowColRef = ($pCellParent !== null) ? $pCellParent->getHighestRow() : 1048576; //	Max 1,048,576 rows for Excel2007
							$output[count($output) - 1]['value'] = $rangeWS1 . strtoupper($startRowColRef) . '1';
							$val = $rangeWS2 . $val . $endRowColRef;
						}
					}

					$localeConstant = false;
					if ($opCharacter == '"')
					{
						//						echo 'Element is a String<br />';
						//	UnEscape any quotes within the string
						$val = self::_wrapResult(str_replace('""', '"', self::_unwrapResult($val)));
					}
					elseif (is_numeric($val))
					{
						//						echo 'Element is a Number<br />';
						if ((strpos($val, '.') !== false) || (stripos($val, 'e') !== false) || ($val > PHP_INT_MAX) || ($val < -PHP_INT_MAX))
						{
							//							echo 'Casting '.$val.' to float<br />';
							$val = (float)$val;
						}
						else
						{
							//							echo 'Casting '.$val.' to integer<br />';
							$val = (integer)$val;
						}
					}
					elseif (isset(self::$_ExcelConstants[trim(strtoupper($val))]))
					{
						$excelConstant = trim(strtoupper($val));
						//						echo 'Element '.$excelConstant.' is an Excel Constant<br />';
						$val = self::$_ExcelConstants[$excelConstant];
					}
					elseif (($localeConstant = array_search(trim(strtoupper($val)), self::$_localeBoolean)) !== false)
					{
						//						echo 'Element '.$localeConstant.' is an Excel Constant<br />';
						$val = self::$_ExcelConstants[$localeConstant];
					}
					$details = array('type' => 'Value', 'value' => $val, 'reference' => null);
					if ($localeConstant)
					{
						$details['localeValue'] = $localeConstant;
					}
					$output[] = $details;
				}
				$index += $length;

			}
			elseif ($opCharacter == '$')
			{ // absolute row or column range
				++$index;
			}
			elseif ($opCharacter == ')')
			{ // miscellaneous error checking
				if ($expectingOperand)
				{
					$output[] = array('type' => 'NULL Value', 'value' => self::$_ExcelConstants['NULL'], 'reference' => null);
					$expectingOperand = false;
					$expectingOperator = true;
				}
				else
				{
					return $this->_raiseFormulaError("Formula Error: Unexpected ')'");
				}
			}
			elseif (isset(self::$_operators[$opCharacter]) && !$expectingOperator)
			{
				return $this->_raiseFormulaError("Formula Error: Unexpected operator '$opCharacter'");
			}
			else
			{ // I don't even want to know what you did to get here
				return $this->_raiseFormulaError("Formula Error: An unexpected error occured");
			}
			//	Test for end of formula string
			if ($index == strlen($formula))
			{
				//	Did we end with an operator?.
				//	Only valid for the % unary operator
				if ((isset(self::$_operators[$opCharacter])) && ($opCharacter != '%'))
				{
					return $this->_raiseFormulaError("Formula Error: Operator '$opCharacter' has no operands");
				}
				else
				{
					break;
				}
			}
			//	Ignore white space
			while (($formula{$index} == "\n") || ($formula{$index} == "\r"))
			{
				++$index;
			}
			if ($formula{$index} == ' ')
			{
				while ($formula{$index} == ' ')
				{
					++$index;
				}
				//	If we're expecting an operator, but only have a space between the previous and next operands (and both are
				//		Cell References) then we have an INTERSECTION operator
				//				echo 'Possible Intersect Operator<br />';
				if (($expectingOperator) && (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '.*/Ui', substr($formula, $index), $match)) && ($output[count($output) - 1]['type'] == 'Cell Reference'))
				{
					//					echo 'Element is an Intersect Operator<br />';
					while ($stack->count() > 0 && ($o2 = $stack->last()) && isset(self::$_operators[$o2['value']]) && @(self::$_operatorAssociativity[$opCharacter] ? self::$_operatorPrecedence[$opCharacter] < self::$_operatorPrecedence[$o2['value']] : self::$_operatorPrecedence[$opCharacter] <= self::$_operatorPrecedence[$o2['value']]))
					{
						$output[] = $stack->pop(); //	Swap operands and higher precedence operators from the stack to the output
					}
					$stack->push('Binary Operator', '|'); //	Put an Intersect Operator on the stack
					$expectingOperator = false;
				}
			}
		}

		while (($op = $stack->pop()) !== null)
		{ // pop everything off the stack and push onto output
			if ((is_array($op) && $op['value'] == '(') || ($op === '('))
				return $this->_raiseFormulaError("Formula Error: Expecting ')'"); // if there are any opening braces on the stack, then braces were unbalanced
			$output[] = $op;
		}

		return $output;
	} //	function _parseFormula()


	private static function _dataTestReference(&$operandData) {
		$operand = $operandData['value'];
		if (($operandData['reference'] === null) && (is_array($operand)))
		{
			$rKeys = array_keys($operand);
			$rowKey = array_shift($rKeys);
			$cKeys = array_keys(array_keys($operand[$rowKey]));
			$colKey = array_shift($cKeys);
			if (ctype_upper($colKey))
			{
				$operandData['reference'] = $colKey . $rowKey;
			}
		}

		return $operand;
	}

	// evaluate postfix notation
	private function _processTokenStack($tokens, $cellID = null, PHPExcel_Cell $pCell = null) {
		if ($tokens == false)
			return false;

		//	If we're using cell caching, then $pCell may well be flushed back to the cache (which detaches the parent cell collection),
		//		so we store the parent cell collection so that we can re-attach it when necessary
		$pCellWorksheet = ($pCell !== null) ? $pCell->getWorksheet() : null;
		$pCellParent = ($pCell !== null) ? $pCell->getParent() : null;
		$stack = new PHPExcel_Calculation_Token_Stack;

		//	Loop through each token in turn
		foreach ($tokens as $tokenData)
		{
			//			print_r($tokenData);
			//			echo '<br />';
			$token = $tokenData['value'];
			//			echo '<b>Token is '.$token.'</b><br />';
			// if the token is a binary operator, pop the top two values off the stack, do the operation, and push the result back on the stack
			if (isset(self::$_binaryOperators[$token]))
			{
				//				echo 'Token is a binary operator<br />';
				//	We must have two operands, error if we don't
				if (($operand2Data = $stack->pop()) === null)
					return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
				if (($operand1Data = $stack->pop()) === null)
					return $this->_raiseFormulaError('Internal error - Operand value missing from stack');

				$operand1 = self::_dataTestReference($operand1Data);
				$operand2 = self::_dataTestReference($operand2Data);

				//	Log what we're doing
				if ($token == ':')
				{
					$this->_debugLog->writeDebugLog('Evaluating Range ', $this->_showValue($operand1Data['reference']), ' ', $token, ' ', $this->_showValue($operand2Data['reference']));
				}
				else
				{
					$this->_debugLog->writeDebugLog('Evaluating ', $this->_showValue($operand1), ' ', $token, ' ', $this->_showValue($operand2));
				}

				//	Process the operation in the appropriate manner
				switch ($token)
				{
					//	Comparison (Boolean) Operators
					case '>'    : //	Greater than
					case '<'    : //	Less than
					case '>='    : //	Greater than or Equal to
					case '<='    : //	Less than or Equal to
					case '='    : //	Equality
					case '<>'    : //	Inequality
						$this->_executeBinaryComparisonOperation($cellID, $operand1, $operand2, $token, $stack);
						break;
					//	Binary Operators
					case ':'    : //	Range
						$sheet1 = $sheet2 = '';
						if (strpos($operand1Data['reference'], '!') !== false)
						{
							list($sheet1, $operand1Data['reference']) = explode('!', $operand1Data['reference']);
						}
						else
						{
							$sheet1 = ($pCellParent !== null) ? $pCellWorksheet->getTitle() : '';
						}
						if (strpos($operand2Data['reference'], '!') !== false)
						{
							list($sheet2, $operand2Data['reference']) = explode('!', $operand2Data['reference']);
						}
						else
						{
							$sheet2 = $sheet1;
						}
						if ($sheet1 == $sheet2)
						{
							if ($operand1Data['reference'] === null)
							{
								if ((trim($operand1Data['value']) != '') && (is_numeric($operand1Data['value'])))
								{
									$operand1Data['reference'] = $pCell->getColumn() . $operand1Data['value'];
								}
								elseif (trim($operand1Data['reference']) == '')
								{
									$operand1Data['reference'] = $pCell->getCoordinate();
								}
								else
								{
									$operand1Data['reference'] = $operand1Data['value'] . $pCell->getRow();
								}
							}
							if ($operand2Data['reference'] === null)
							{
								if ((trim($operand2Data['value']) != '') && (is_numeric($operand2Data['value'])))
								{
									$operand2Data['reference'] = $pCell->getColumn() . $operand2Data['value'];
								}
								elseif (trim($operand2Data['reference']) == '')
								{
									$operand2Data['reference'] = $pCell->getCoordinate();
								}
								else
								{
									$operand2Data['reference'] = $operand2Data['value'] . $pCell->getRow();
								}
							}

							$oData = array_merge(explode(':', $operand1Data['reference']), explode(':', $operand2Data['reference']));
							$oCol = $oRow = array();
							foreach ($oData as $oDatum)
							{
								$oCR = PHPExcel_Cell::coordinateFromString($oDatum);
								$oCol[] = PHPExcel_Cell::columnIndexFromString($oCR[0]) - 1;
								$oRow[] = $oCR[1];
							}
							$cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)) . min($oRow) . ':' . PHPExcel_Cell::stringFromColumnIndex(max($oCol)) . max($oRow);
							if ($pCellParent !== null)
							{
								$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($sheet1), false);
							}
							else
							{
								return $this->_raiseFormulaError('Unable to access Cell Reference');
							}
							$stack->push('Cell Reference', $cellValue, $cellRef);
						}
						else
						{
							$stack->push('Error', PHPExcel_Calculation_Functions::REF(), null);
						}

						break;
					case '+'    : //	Addition
						$this->_executeNumericBinaryOperation($cellID, $operand1, $operand2, $token, 'plusEquals', $stack);
						break;
					case '-'    : //	Subtraction
						$this->_executeNumericBinaryOperation($cellID, $operand1, $operand2, $token, 'minusEquals', $stack);
						break;
					case '*'    : //	Multiplication
						$this->_executeNumericBinaryOperation($cellID, $operand1, $operand2, $token, 'arrayTimesEquals', $stack);
						break;
					case '/'    : //	Division
						$this->_executeNumericBinaryOperation($cellID, $operand1, $operand2, $token, 'arrayRightDivide', $stack);
						break;
					case '^'    : //	Exponential
						$this->_executeNumericBinaryOperation($cellID, $operand1, $operand2, $token, 'power', $stack);
						break;
					case '&'    : //	Concatenation
						//	If either of the operands is a matrix, we need to treat them both as matrices
						//		(converting the other operand to a matrix if need be); then perform the required
						//		matrix operation
						if (is_bool($operand1))
						{
							$operand1 = ($operand1) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
						}
						if (is_bool($operand2))
						{
							$operand2 = ($operand2) ? self::$_localeBoolean['TRUE'] : self::$_localeBoolean['FALSE'];
						}
						if ((is_array($operand1)) || (is_array($operand2)))
						{
							//	Ensure that both operands are arrays/matrices
							self::_checkMatrixOperands($operand1, $operand2, 2);
							try
							{
								//	Convert operand 1 from a PHP array to a matrix
								$matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);
								//	Perform the required operation against the operand 1 matrix, passing in operand 2
								$matrixResult = $matrix->concat($operand2);
								$result = $matrixResult->getArray();
							} catch (PHPExcel_Exception $ex)
							{
								$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
								$result = '#VALUE!';
							}
						}
						else
						{
							$result = '"' . str_replace('""', '"', self::_unwrapResult($operand1, '"') . self::_unwrapResult($operand2, '"')) . '"';
						}
						$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
						$stack->push('Value', $result);
						break;
					case '|'    : //	Intersect
						$rowIntersect = array_intersect_key($operand1, $operand2);
						$cellIntersect = $oCol = $oRow = array();
						foreach (array_keys($rowIntersect) as $row)
						{
							$oRow[] = $row;
							foreach ($rowIntersect[$row] as $col => $data)
							{
								$oCol[] = PHPExcel_Cell::columnIndexFromString($col) - 1;
								$cellIntersect[$row] = array_intersect_key($operand1[$row], $operand2[$row]);
							}
						}
						$cellRef = PHPExcel_Cell::stringFromColumnIndex(min($oCol)) . min($oRow) . ':' . PHPExcel_Cell::stringFromColumnIndex(max($oCol)) . max($oRow);
						$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($cellIntersect));
						$stack->push('Value', $cellIntersect, $cellRef);
						break;
				}

				// if the token is a unary operator, pop one value off the stack, do the operation, and push it back on
			}
			elseif (($token === '~') || ($token === '%'))
			{
				//				echo 'Token is a unary operator<br />';
				if (($arg = $stack->pop()) === null)
					return $this->_raiseFormulaError('Internal error - Operand value missing from stack');
				$arg = $arg['value'];
				if ($token === '~')
				{
					//					echo 'Token is a negation operator<br />';
					$this->_debugLog->writeDebugLog('Evaluating Negation of ', $this->_showValue($arg));
					$multiplier = -1;
				}
				else
				{
					//					echo 'Token is a percentile operator<br />';
					$this->_debugLog->writeDebugLog('Evaluating Percentile of ', $this->_showValue($arg));
					$multiplier = 0.01;
				}
				if (is_array($arg))
				{
					self::_checkMatrixOperands($arg, $multiplier, 2);
					try
					{
						$matrix1 = new PHPExcel_Shared_JAMA_Matrix($arg);
						$matrixResult = $matrix1->arrayTimesEquals($multiplier);
						$result = $matrixResult->getArray();
					} catch (PHPExcel_Exception $ex)
					{
						$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
						$result = '#VALUE!';
					}
					$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
					$stack->push('Value', $result);
				}
				else
				{
					$this->_executeNumericBinaryOperation($cellID, $multiplier, $arg, '*', 'arrayTimesEquals', $stack);
				}

			}
			elseif (preg_match('/^' . self::CALCULATION_REGEXP_CELLREF . '$/i', $token, $matches))
			{
				$cellRef = null;
				//				echo 'Element '.$token.' is a Cell reference<br />';
				if (isset($matches[8]))
				{
					//					echo 'Reference is a Range of cells<br />';
					if ($pCell === null)
					{
						//						We can't access the range, so return a REF error
						$cellValue = PHPExcel_Calculation_Functions::REF();
					}
					else
					{
						$cellRef = $matches[6] . $matches[7] . ':' . $matches[9] . $matches[10];
						if ($matches[2] > '')
						{
							$matches[2] = trim($matches[2], "\"'");
							if ((strpos($matches[2], '[') !== false) || (strpos($matches[2], ']') !== false))
							{
								//	It's a Reference to an external workbook (not currently supported)
								return $this->_raiseFormulaError('Unable to access External Workbook');
							}
							$matches[2] = trim($matches[2], "\"'");
							//							echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';
							$this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in worksheet ', $matches[2]);
							if ($pCellParent !== null)
							{
								$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), false);
							}
							else
							{
								return $this->_raiseFormulaError('Unable to access Cell Reference');
							}
							$this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));
							//							$cellRef = $matches[2].'!'.$cellRef;
						}
						else
						{
							//							echo '$cellRef='.$cellRef.' in current worksheet<br />';
							$this->_debugLog->writeDebugLog('Evaluating Cell Range ', $cellRef, ' in current worksheet');
							if ($pCellParent !== null)
							{
								$cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, false);
							}
							else
							{
								return $this->_raiseFormulaError('Unable to access Cell Reference');
							}
							$this->_debugLog->writeDebugLog('Evaluation Result for cells ', $cellRef, ' is ', $this->_showTypeDetails($cellValue));
						}
					}
				}
				else
				{
					//					echo 'Reference is a single Cell<br />';
					if ($pCell === null)
					{
						//						We can't access the cell, so return a REF error
						$cellValue = PHPExcel_Calculation_Functions::REF();
					}
					else
					{
						$cellRef = $matches[6] . $matches[7];
						if ($matches[2] > '')
						{
							$matches[2] = trim($matches[2], "\"'");
							if ((strpos($matches[2], '[') !== false) || (strpos($matches[2], ']') !== false))
							{
								//	It's a Reference to an external workbook (not currently supported)
								return $this->_raiseFormulaError('Unable to access External Workbook');
							}
							//							echo '$cellRef='.$cellRef.' in worksheet '.$matches[2].'<br />';
							$this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in worksheet ', $matches[2]);
							if ($pCellParent !== null)
							{
								if ($this->_workbook->getSheetByName($matches[2])->cellExists($cellRef))
								{
									$cellValue = $this->extractCellRange($cellRef, $this->_workbook->getSheetByName($matches[2]), false);
									$pCell->attach($pCellParent);
								}
								else
								{
									$cellValue = null;
								}
							}
							else
							{
								return $this->_raiseFormulaError('Unable to access Cell Reference');
							}
							$this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' in worksheet ', $matches[2], ' is ', $this->_showTypeDetails($cellValue));
							//							$cellRef = $matches[2].'!'.$cellRef;
						}
						else
						{
							//							echo '$cellRef='.$cellRef.' in current worksheet<br />';
							$this->_debugLog->writeDebugLog('Evaluating Cell ', $cellRef, ' in current worksheet');
							if ($pCellParent->isDataSet($cellRef))
							{
								$cellValue = $this->extractCellRange($cellRef, $pCellWorksheet, false);
								$pCell->attach($pCellParent);
							}
							else
							{
								$cellValue = null;
							}
							$this->_debugLog->writeDebugLog('Evaluation Result for cell ', $cellRef, ' is ', $this->_showTypeDetails($cellValue));
						}
					}
				}
				$stack->push('Value', $cellValue, $cellRef);

				// if the token is a function, pop arguments off the stack, hand them to the function, and push the result back on
			}
			elseif (preg_match('/^' . self::CALCULATION_REGEXP_FUNCTION . '$/i', $token, $matches))
			{
				//				echo 'Token is a function<br />';
				$functionName = $matches[1];
				$argCount = $stack->pop();
				$argCount = $argCount['value'];
				if ($functionName != 'MKMATRIX')
				{
					$this->_debugLog->writeDebugLog('Evaluating Function ', self::_localeFunc($functionName), '() with ', (($argCount == 0) ? 'no' : $argCount), ' argument', (($argCount == 1) ? '' : 's'));
				}
				if ((isset(self::$_PHPExcelFunctions[$functionName])) || (isset(self::$_controlFunctions[$functionName])))
				{ // function
					if (isset(self::$_PHPExcelFunctions[$functionName]))
					{
						$functionCall = self::$_PHPExcelFunctions[$functionName]['functionCall'];
						$passByReference = isset(self::$_PHPExcelFunctions[$functionName]['passByReference']);
						$passCellReference = isset(self::$_PHPExcelFunctions[$functionName]['passCellReference']);
					}
					elseif (isset(self::$_controlFunctions[$functionName]))
					{
						$functionCall = self::$_controlFunctions[$functionName]['functionCall'];
						$passByReference = isset(self::$_controlFunctions[$functionName]['passByReference']);
						$passCellReference = isset(self::$_controlFunctions[$functionName]['passCellReference']);
					}
					// get the arguments for this function
					//					echo 'Function '.$functionName.' expects '.$argCount.' arguments<br />';
					$args = $argArrayVals = array();
					for ($i = 0; $i < $argCount; ++$i)
					{
						$arg = $stack->pop();
						$a = $argCount - $i - 1;
						if (($passByReference) && (isset(self::$_PHPExcelFunctions[$functionName]['passByReference'][$a])) && (self::$_PHPExcelFunctions[$functionName]['passByReference'][$a]))
						{
							if ($arg['reference'] === null)
							{
								$args[] = $cellID;
								if ($functionName != 'MKMATRIX')
								{
									$argArrayVals[] = $this->_showValue($cellID);
								}
							}
							else
							{
								$args[] = $arg['reference'];
								if ($functionName != 'MKMATRIX')
								{
									$argArrayVals[] = $this->_showValue($arg['reference']);
								}
							}
						}
						else
						{
							$args[] = self::_unwrapResult($arg['value']);
							if ($functionName != 'MKMATRIX')
							{
								$argArrayVals[] = $this->_showValue($arg['value']);
							}
						}
					}
					//	Reverse the order of the arguments
					krsort($args);
					if (($passByReference) && ($argCount == 0))
					{
						$args[] = $cellID;
						$argArrayVals[] = $this->_showValue($cellID);
					}
					//					echo 'Arguments are: ';
					//					print_r($args);
					//					echo '<br />';
					if ($functionName != 'MKMATRIX')
					{
						if ($this->_debugLog->getWriteDebugLog())
						{
							krsort($argArrayVals);
							$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', implode(self::$_localeArgumentSeparator . ' ', PHPExcel_Calculation_Functions::flattenArray($argArrayVals)), ' )');
						}
					}
					//	Process each argument in turn, building the return value as an array
					//					if (($argCount == 1) && (is_array($args[1])) && ($functionName != 'MKMATRIX')) {
					//						$operand1 = $args[1];
					//						$this->_debugLog->writeDebugLog('Argument is a matrix: ', $this->_showValue($operand1));
					//						$result = array();
					//						$row = 0;
					//						foreach($operand1 as $args) {
					//							if (is_array($args)) {
					//								foreach($args as $arg) {
					//									$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($arg), ' )');
					//									$r = call_user_func_array($functionCall,$arg);
					//									$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($r));
					//									$result[$row][] = $r;
					//								}
					//								++$row;
					//							} else {
					//								$this->_debugLog->writeDebugLog('Evaluating ', self::_localeFunc($functionName), '( ', $this->_showValue($args), ' )');
					//								$r = call_user_func_array($functionCall,$args);
					//								$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($r));
					//								$result[] = $r;
					//							}
					//						}
					//					} else {
					//	Process the argument with the appropriate function call
					if ($passCellReference)
					{
						$args[] = $pCell;
					}
					if (strpos($functionCall, '::') !== false)
					{
						$result = call_user_func_array(explode('::', $functionCall), $args);
					}
					else
					{
						foreach ($args as &$arg)
						{
							$arg = PHPExcel_Calculation_Functions::flattenSingleValue($arg);
						}
						unset($arg);
						$result = call_user_func_array($functionCall, $args);
					}
					//					}
					if ($functionName != 'MKMATRIX')
					{
						$this->_debugLog->writeDebugLog('Evaluation Result for ', self::_localeFunc($functionName), '() function call is ', $this->_showTypeDetails($result));
					}
					$stack->push('Value', self::_wrapResult($result));
				}

			}
			else
			{
				// if the token is a number, boolean, string or an Excel error, push it onto the stack
				if (isset(self::$_ExcelConstants[strtoupper($token)]))
				{
					$excelConstant = strtoupper($token);
					//					echo 'Token is a PHPExcel constant: '.$excelConstant.'<br />';
					$stack->push('Constant Value', self::$_ExcelConstants[$excelConstant]);
					$this->_debugLog->writeDebugLog('Evaluating Constant ', $excelConstant, ' as ', $this->_showTypeDetails(self::$_ExcelConstants[$excelConstant]));
				}
				elseif ((is_numeric($token)) || ($token === null) || (is_bool($token)) || ($token == '') || ($token{0} == '"') || ($token{0} == '#'))
				{
					//					echo 'Token is a number, boolean, string, null or an Excel error<br />';
					$stack->push('Value', $token);
					// if the token is a named range, push the named range name onto the stack
				}
				elseif (preg_match('/^' . self::CALCULATION_REGEXP_NAMEDRANGE . '$/i', $token, $matches))
				{
					//					echo 'Token is a named range<br />';
					$namedRange = $matches[6];
					//					echo 'Named Range is '.$namedRange.'<br />';
					$this->_debugLog->writeDebugLog('Evaluating Named Range ', $namedRange);
					$cellValue = $this->extractNamedRange($namedRange, ((null !== $pCell) ? $pCellWorksheet : null), false);
					$pCell->attach($pCellParent);
					$this->_debugLog->writeDebugLog('Evaluation Result for named range ', $namedRange, ' is ', $this->_showTypeDetails($cellValue));
					$stack->push('Named Range', $cellValue, $namedRange);
				}
				else
				{
					return $this->_raiseFormulaError("undefined variable '$token'");
				}
			}
		}
		// when we're out of tokens, the stack should have a single element, the final result
		if ($stack->count() != 1)
			return $this->_raiseFormulaError("internal error");
		$output = $stack->pop();
		$output = $output['value'];

		//		if ((is_array($output)) && (self::$returnArrayAsType != self::RETURN_ARRAY_AS_ARRAY)) {
		//			return array_shift(PHPExcel_Calculation_Functions::flattenArray($output));
		//		}
		return $output;
	} //	function _processTokenStack()


	private function _validateBinaryOperand($cellID, &$operand, &$stack) {
		//	Numbers, matrices and booleans can pass straight through, as they're already valid
		if (is_string($operand))
		{
			//	We only need special validations for the operand if it is a string
			//	Start by stripping off the quotation marks we use to identify true excel string values internally
			if ($operand > '' && $operand{0} == '"')
			{
				$operand = self::_unwrapResult($operand);
			}
			//	If the string is a numeric value, we treat it as a numeric, so no further testing
			if (!is_numeric($operand))
			{
				//	If not a numeric, test to see if the value is an Excel error, and so can't be used in normal binary operations
				if ($operand > '' && $operand{0} == '#')
				{
					$stack->push('Value', $operand);
					$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($operand));

					return false;
				}
				elseif (!PHPExcel_Shared_String::convertToNumberIfFraction($operand))
				{
					//	If not a numeric or a fraction, then it's a text string, and so can't be used in mathematical binary operations
					$stack->push('Value', '#VALUE!');
					$this->_debugLog->writeDebugLog('Evaluation Result is a ', $this->_showTypeDetails('#VALUE!'));

					return false;
				}
			}
		}

		//	return a true if the value of the operand is one that we can use in normal binary operations
		return true;
	} //	function _validateBinaryOperand()


	private function _executeBinaryComparisonOperation($cellID, $operand1, $operand2, $operation, &$stack, $recursingArrays = false) {
		//	If we're dealing with matrix operations, we want a matrix result
		if ((is_array($operand1)) || (is_array($operand2)))
		{
			$result = array();
			if ((is_array($operand1)) && (!is_array($operand2)))
			{
				foreach ($operand1 as $x => $operandData)
				{
					$this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($operand2));
					$this->_executeBinaryComparisonOperation($cellID, $operandData, $operand2, $operation, $stack);
					$r = $stack->pop();
					$result[$x] = $r['value'];
				}
			}
			elseif ((!is_array($operand1)) && (is_array($operand2)))
			{
				foreach ($operand2 as $x => $operandData)
				{
					$this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operand1), ' ', $operation, ' ', $this->_showValue($operandData));
					$this->_executeBinaryComparisonOperation($cellID, $operand1, $operandData, $operation, $stack);
					$r = $stack->pop();
					$result[$x] = $r['value'];
				}
			}
			else
			{
				if (!$recursingArrays)
				{
					self::_checkMatrixOperands($operand1, $operand2, 2);
				}
				foreach ($operand1 as $x => $operandData)
				{
					$this->_debugLog->writeDebugLog('Evaluating Comparison ', $this->_showValue($operandData), ' ', $operation, ' ', $this->_showValue($operand2[$x]));
					$this->_executeBinaryComparisonOperation($cellID, $operandData, $operand2[$x], $operation, $stack, true);
					$r = $stack->pop();
					$result[$x] = $r['value'];
				}
			}
			//	Log the result details
			$this->_debugLog->writeDebugLog('Comparison Evaluation Result is ', $this->_showTypeDetails($result));
			//	And push the result onto the stack
			$stack->push('Array', $result);

			return true;
		}

		//	Simple validate the two operands if they are string values
		if (is_string($operand1) && $operand1 > '' && $operand1{0} == '"')
		{
			$operand1 = self::_unwrapResult($operand1);
		}
		if (is_string($operand2) && $operand2 > '' && $operand2{0} == '"')
		{
			$operand2 = self::_unwrapResult($operand2);
		}

		//	execute the necessary operation
		switch ($operation)
		{
			//	Greater than
			case '>':
				$result = ($operand1 > $operand2);
				break;
			//	Less than
			case '<':
				$result = ($operand1 < $operand2);
				break;
			//	Equality
			case '=':
				$result = ($operand1 == $operand2);
				break;
			//	Greater than or equal
			case '>=':
				$result = ($operand1 >= $operand2);
				break;
			//	Less than or equal
			case '<=':
				$result = ($operand1 <= $operand2);
				break;
			//	Inequality
			case '<>':
				$result = ($operand1 != $operand2);
				break;
		}

		//	Log the result details
		$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
		//	And push the result onto the stack
		$stack->push('Value', $result);

		return true;
	} //	function _executeBinaryComparisonOperation()


	private function _executeNumericBinaryOperation($cellID, $operand1, $operand2, $operation, $matrixFunction, &$stack) {
		//	Validate the two operands
		if (!$this->_validateBinaryOperand($cellID, $operand1, $stack))
			return false;
		if (!$this->_validateBinaryOperand($cellID, $operand2, $stack))
			return false;

		$executeMatrixOperation = false;
		//	If either of the operands is a matrix, we need to treat them both as matrices
		//		(converting the other operand to a matrix if need be); then perform the required
		//		matrix operation
		if ((is_array($operand1)) || (is_array($operand2)))
		{
			//	Ensure that both operands are arrays/matrices
			$executeMatrixOperation = true;
			$mSize = array();
			list($mSize[], $mSize[], $mSize[], $mSize[]) = self::_checkMatrixOperands($operand1, $operand2, 2);

			//	But if they're both single cell matrices, then we can treat them as simple values
			if (array_sum($mSize) == 4)
			{
				$executeMatrixOperation = false;
				$operand1 = $operand1[0][0];
				$operand2 = $operand2[0][0];
			}
		}

		if ($executeMatrixOperation)
		{
			try
			{
				//	Convert operand 1 from a PHP array to a matrix
				$matrix = new PHPExcel_Shared_JAMA_Matrix($operand1);
				//	Perform the required operation against the operand 1 matrix, passing in operand 2
				$matrixResult = $matrix->$matrixFunction($operand2);
				$result = $matrixResult->getArray();
			} catch (PHPExcel_Exception $ex)
			{
				$this->_debugLog->writeDebugLog('JAMA Matrix Exception: ', $ex->getMessage());
				$result = '#VALUE!';
			}
		}
		else
		{
			if ((PHPExcel_Calculation_Functions::getCompatibilityMode() != PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE) && ((is_string($operand1) && !is_numeric($operand1)) || (is_string($operand2) && !is_numeric($operand2))))
			{
				$result = PHPExcel_Calculation_Functions::VALUE();
			}
			else
			{
				//	If we're dealing with non-matrix operations, execute the necessary operation
				switch ($operation)
				{
					//	Addition
					case '+':
						$result = $operand1 + $operand2;
						break;
					//	Subtraction
					case '-':
						$result = $operand1 - $operand2;
						break;
					//	Multiplication
					case '*':
						$result = $operand1 * $operand2;
						break;
					//	Division
					case '/':
						if ($operand2 == 0)
						{
							//	Trap for Divide by Zero error
							$stack->push('Value', '#DIV/0!');
							$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails('#DIV/0!'));

							return false;
						}
						else
						{
							$result = $operand1 / $operand2;
						}
						break;
					//	Power
					case '^':
						$result = pow($operand1, $operand2);
						break;
				}
			}
		}

		//	Log the result details
		$this->_debugLog->writeDebugLog('Evaluation Result is ', $this->_showTypeDetails($result));
		//	And push the result onto the stack
		$stack->push('Value', $result);

		return true;
	} //	function _executeNumericBinaryOperation()


	// trigger an error, but nicely, if need be
	protected function _raiseFormulaError($errorMessage) {
		$this->formulaError = $errorMessage;
		$this->_cyclicReferenceStack->clear();
		if (!$this->suppressFormulaErrors)
			throw new PHPExcel_Calculation_Exception($errorMessage);
		trigger_error($errorMessage, E_USER_ERROR);
	} //	function _raiseFormulaError()


	/**
	 * Extract range values
	 *
	 * @param    string             &$pRange  String based range representation
	 * @param    PHPExcel_Worksheet $pSheet   Worksheet
	 * @param    boolean            $resetLog Flag indicating whether calculation log should be reset or not
	 *
	 * @return  mixed                Array of values in range if range contains more than one element. Otherwise, a single value is returned.
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function extractCellRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = null, $resetLog = true) {
		// Return value
		$returnValue = array();

		//		echo 'extractCellRange('.$pRange.')',PHP_EOL;
		if ($pSheet !== null)
		{
			$pSheetName = $pSheet->getTitle();
			//			echo 'Passed sheet name is '.$pSheetName.PHP_EOL;
			//			echo 'Range reference is '.$pRange.PHP_EOL;
			if (strpos($pRange, '!') !== false)
			{
				//				echo '$pRange reference includes sheet reference',PHP_EOL;
				list($pSheetName, $pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
				//				echo 'New sheet name is '.$pSheetName,PHP_EOL;
				//				echo 'Adjusted Range reference is '.$pRange,PHP_EOL;
				$pSheet = $this->_workbook->getSheetByName($pSheetName);
			}

			// Extract range
			$aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
			$pRange = $pSheetName . '!' . $pRange;
			if (!isset($aReferences[1]))
			{
				//	Single cell in range
				sscanf($aReferences[0], '%[A-Z]%d', $currentCol, $currentRow);
				$cellValue = null;
				if ($pSheet->cellExists($aReferences[0]))
				{
					$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
				}
				else
				{
					$returnValue[$currentRow][$currentCol] = null;
				}
			}
			else
			{
				// Extract cell data for all cells in the range
				foreach ($aReferences as $reference)
				{
					// Extract range
					sscanf($reference, '%[A-Z]%d', $currentCol, $currentRow);
					$cellValue = null;
					if ($pSheet->cellExists($reference))
					{
						$returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
					}
					else
					{
						$returnValue[$currentRow][$currentCol] = null;
					}
				}
			}
		}

		// Return
		return $returnValue;
	} //	function extractCellRange()


	/**
	 * Extract range values
	 *
	 * @param    string             &$pRange  String based range representation
	 * @param    PHPExcel_Worksheet $pSheet   Worksheet
	 *
	 * @return  mixed                Array of values in range if range contains more than one element. Otherwise, a single value is returned.
	 *
	 * @param    boolean            $resetLog Flag indicating whether calculation log should be reset or not
	 *
	 * @throws    PHPExcel_Calculation_Exception
	 */
	public function extractNamedRange(&$pRange = 'A1', PHPExcel_Worksheet $pSheet = null, $resetLog = true) {
		// Return value
		$returnValue = array();

		//		echo 'extractNamedRange('.$pRange.')<br />';
		if ($pSheet !== null)
		{
			$pSheetName = $pSheet->getTitle();
			//			echo 'Current sheet name is '.$pSheetName.'<br />';
			//			echo 'Range reference is '.$pRange.'<br />';
			if (strpos($pRange, '!') !== false)
			{
				//				echo '$pRange reference includes sheet reference',PHP_EOL;
				list($pSheetName, $pRange) = PHPExcel_Worksheet::extractSheetTitle($pRange, true);
				//				echo 'New sheet name is '.$pSheetName,PHP_EOL;
				//				echo 'Adjusted Range reference is '.$pRange,PHP_EOL;
				$pSheet = $this->_workbook->getSheetByName($pSheetName);
			}

			// Named range?
			$namedRange = PHPExcel_NamedRange::resolveRange($pRange, $pSheet);
			if ($namedRange !== null)
			{
				$pSheet = $namedRange->getWorksheet();
				//				echo 'Named Range '.$pRange.' (';
				$pRange = $namedRange->getRange();
				$splitRange = PHPExcel_Cell::splitRange($pRange);
				//	Convert row and column references
				if (ctype_alpha($splitRange[0][0]))
				{
					$pRange = $splitRange[0][0] . '1:' . $splitRange[0][1] . $namedRange->getWorksheet()->getHighestRow();
				}
				elseif (ctype_digit($splitRange[0][0]))
				{
					$pRange = 'A' . $splitRange[0][0] . ':' . $namedRange->getWorksheet()->getHighestColumn() . $splitRange[0][1];
				}
				//				echo $pRange.') is in sheet '.$namedRange->getWorksheet()->getTitle().'<br />';

				//				if ($pSheet->getTitle() != $namedRange->getWorksheet()->getTitle()) {
				//					if (!$namedRange->getLocalOnly()) {
				//						$pSheet = $namedRange->getWorksheet();
				//					} else {
				//						return $returnValue;
				//					}
				//				}
			}
			else
			{
				return PHPExcel_Calculation_Functions::REF();
			}

			// Extract range
			$aReferences = PHPExcel_Cell::extractAllCellReferencesInRange($pRange);
			//			var_dump($aReferences);
			if (!isset($aReferences[1]))
			{
				//	Single cell (or single column or row) in range
				list($currentCol, $currentRow) = PHPExcel_Cell::coordinateFromString($aReferences[0]);
				$cellValue = null;
				if ($pSheet->cellExists($aReferences[0]))
				{
					$returnValue[$currentRow][$currentCol] = $pSheet->getCell($aReferences[0])->getCalculatedValue($resetLog);
				}
				else
				{
					$returnValue[$currentRow][$currentCol] = null;
				}
			}
			else
			{
				// Extract cell data for all cells in the range
				foreach ($aReferences as $reference)
				{
					// Extract range
					list($currentCol, $currentRow) = PHPExcel_Cell::coordinateFromString($reference);
					//					echo 'NAMED RANGE: $currentCol='.$currentCol.' $currentRow='.$currentRow.'<br />';
					$cellValue = null;
					if ($pSheet->cellExists($reference))
					{
						$returnValue[$currentRow][$currentCol] = $pSheet->getCell($reference)->getCalculatedValue($resetLog);
					}
					else
					{
						$returnValue[$currentRow][$currentCol] = null;
					}
				}
			}
			//				print_r($returnValue);
			//			echo '<br />';
		}

		// Return
		return $returnValue;
	} //	function extractNamedRange()


	/**
	 * Is a specific function implemented?
	 *
	 * @param    string $pFunction Function Name
	 *
	 * @return    boolean
	 */
	public function isImplemented($pFunction = '') {
		$pFunction = strtoupper($pFunction);
		if (isset(self::$_PHPExcelFunctions[$pFunction]))
		{
			return (self::$_PHPExcelFunctions[$pFunction]['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY');
		}
		else
		{
			return false;
		}
	} //	function isImplemented()


	/**
	 * Get a list of all implemented functions as an array of function objects
	 *
	 * @return    array of PHPExcel_Calculation_Function
	 */
	public function listFunctions() {
		// Return value
		$returnValue = array();
		// Loop functions
		foreach (self::$_PHPExcelFunctions as $functionName => $function)
		{
			if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY')
			{
				$returnValue[$functionName] = new PHPExcel_Calculation_Function($function['category'], $functionName, $function['functionCall']);
			}
		}

		// Return
		return $returnValue;
	} //	function listFunctions()


	/**
	 * Get a list of all Excel function names
	 *
	 * @return    array
	 */
	public function listAllFunctionNames() {
		return array_keys(self::$_PHPExcelFunctions);
	} //	function listAllFunctionNames()

	/**
	 * Get a list of implemented Excel function names
	 *
	 * @return    array
	 */
	public function listFunctionNames() {
		// Return value
		$returnValue = array();
		// Loop functions
		foreach (self::$_PHPExcelFunctions as $functionName => $function)
		{
			if ($function['functionCall'] != 'PHPExcel_Calculation_Functions::DUMMY')
			{
				$returnValue[] = $functionName;
			}
		}

		// Return
		return $returnValue;
	} //	function listFunctionNames()

} //	class PHPExcel_Calculation

